https://www.khanacademy.org/math/ka-math-class-7/x26f4f4b84655c15c:exponents-and-powers-ncert-new/x26f4f4b84655c15c:exponents/v/intro-to-exponents-indian-accent 2025-06-06T15:33:38.563209632Z Intro to exponents Exponents represent repeated multiplication, making numbers grow quickly. For example, 2 to the 3rd power means multiplying three 2's together, resulting in 8. This concept differs from multiplication, which is simply repeated addition. Understanding exponents is essential for mastering higher-level math. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Intro to exponents Exponents represent repeated multiplication, making numbers grow quickly. For example, 2 to the 3rd power means multiplying three 2's together, resulting in 8. This concept differs from multiplication, which is simply repeated addition. Understanding exponents is essential for mastering higher-level math. https://cdn.kastatic.org/ka-youtube-converted/WDXCfLVKqV0.mp4/WDXCfLVKqV0.mp4 137 Exponents and powers https://www.khanacademy.org/math/8th-grade-illustrative-math/unit-7-exponents-and-scientific-notation/lesson-6-what-about-other-bases/v/negative-exponents-indian-accent 2025-06-06T15:33:38.563209632Z Negative exponents Negative exponents can be rewritten in two ways. Firstly, start with 1 and divide it by 2 the same number of times as the exponent. Secondly, take the reciprocal of the base and raise it to the positive exponent. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Negative exponents Negative exponents can be rewritten in two ways. Firstly, start with 1 and divide it by 2 the same number of times as the exponent. Secondly, take the reciprocal of the base and raise it to the positive exponent. https://cdn.kastatic.org/ka-youtube-converted/G-v0wwQuGXA.mp4/G-v0wwQuGXA.mp4 434 Exponents and powers https://www.khanacademy.org/math/8th-grade-illustrative-math/unit-7-exponents-and-scientific-notation/lesson-8-combining-bases/v/exponent-properties-with-products-indian-accent 2025-06-06T15:33:38.563209632Z Exponent properties with products To simplify expressions with exponents, there are a few properties that may help. One is that when two numbers with the same base are multiplied, the exponents can be added. Another is that when a number with an exponent is raised to another exponent, the exponents can be multiplied. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Exponent properties with products To simplify expressions with exponents, there are a few properties that may help. One is that when two numbers with the same base are multiplied, the exponents can be added. Another is that when a number with an exponent is raised to another exponent, the exponents can be multiplied. https://cdn.kastatic.org/ka-youtube-converted/pQ5hkjM-E1E.mp4/pQ5hkjM-E1E.mp4 762 Exponents and powers https://www.khanacademy.org/math/ncert-math-class-8-winter-bridge/x07a8c25cbfcc9660:week-1/x07a8c25cbfcc9660:exponents/v/exponent-properties-with-quotients-indian-accent 2025-06-06T15:33:38.563209632Z Exponent properties with quotients Learn how to simplify expressions like (5^6)/(5^2). Also learn how 1/(a^b) is the same as a^-b. Towards the end of the video, we practice simplifying more complex expressions like (25 * x * y^6)/(20 * y^5 * x^2). Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Exponent properties with quotients Learn how to simplify expressions like (5^6)/(5^2). Also learn how 1/(a^b) is the same as a^-b. Towards the end of the video, we practice simplifying more complex expressions like (25 * x * y^6)/(20 * y^5 * x^2). https://cdn.kastatic.org/ka-youtube-converted/GVtO2QfTS04.mp4/GVtO2QfTS04.mp4 467 Exponents and powers https://www.khanacademy.org/math/kn-math-class-9-bridge/x14595f36277e97c8:exponents-and-powers/x14595f36277e97c8:properties-of-exponents/v/worked-example-exponent-properties-indian-accent 2025-06-06T15:33:38.563209632Z Worked example: Exponent properties Use exponent properties to simplify a challenging expression. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Worked example: Exponent properties Use exponent properties to simplify a challenging expression. https://cdn.kastatic.org/ka-youtube-converted/3n0lD7wmJgk.mp4/3n0lD7wmJgk.mp4 187 Exponents and powers https://www.khanacademy.org/science/strengthened-shs-chemistry-1/x174677b2bfa4bea2:1st-quarter/x174677b2bfa4bea2:scientific-notations/v/introduction-to-scientific-notation-indian-accent 2025-06-06T15:33:38.563209632Z Introduction to scientific notation Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Introduction to scientific notation Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used. https://cdn.kastatic.org/ka-youtube-converted/yS-PXokT7tI.mp4/yS-PXokT7tI.mp4 1247 Exponents and powers https://www.khanacademy.org/math/revision-tg-math-class-8/x9ce0e841a99d4a8a:week-1/x9ce0e841a99d4a8a:exponents-and-powers/v/comparing-very-large-and-very-small-numbers 2025-10-27T11:00:46.958143659Z Comparing very large and very small numbers Ever struggled to tell which huge number is bigger? This video makes comparing very large and very small numbers easy using Standard Form (Scientific Notation)! Learn why counting zeroes isn't practical and how scientists use the form a×10^n to handle everything from the diameter of the Sun to the size of a hydrogen atom. We'll cover the rules for converting numbers into standard form and provide a simple, two-step method for comparing them. Watch clear, step-by-step examples, including a ""Sun vs. Earth"" size showdown and how to add the masses of the Earth and Moon. Plus, we cover common mistakes and the many real-world applications of this powerful tool in astronomy, biology, and engineering! Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! https://www.khanacademy.org/math/in-in-grade-8-math/x35451a4379265842:exponents-and-powers/x35451a4379265842:numbers-in-standard-form/v/scientific-notation-examples 0:00 - Why comparing big and small numbers is hard 0:45 - The solution: Standard Form (Scientific Notation) 1:54 - The rules of Standard Form 2:21 - How to compare numbers in Standard Form 3:26 - Comparing with Positive vs. Negative Exponents 5:45 - Example 1: Sun vs. Earth size comparison 7:47 - Example 2: Adding the masses of the Earth and Moon 9:14 - Common mistakes to avoid 10:06 - Where will you use this? Real-world applications Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Khan Academy Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Comparing very large and very small numbers Ever struggled to tell which huge number is bigger? This video makes comparing very large and very small numbers easy using Standard Form (Scientific Notation)! Learn why counting zeroes isn't practical and how scientists use the form a×10^n to handle everything from the diameter of the Sun to the size of a hydrogen atom. We'll cover the rules for converting numbers into standard form and provide a simple, two-step method for comparing them. Watch clear, step-by-step examples, including a ""Sun vs. Earth"" size showdown and how to add the masses of the Earth and Moon. Plus, we cover common mistakes and the many real-world applications of this powerful tool in astronomy, biology, and engineering! Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! https://www.khanacademy.org/math/in-in-grade-8-math/x35451a4379265842:exponents-and-powers/x35451a4379265842:numbers-in-standard-form/v/scientific-notation-examples 0:00 - Why comparing big and small numbers is hard 0:45 - The solution: Standard Form (Scientific Notation) 1:54 - The rules of Standard Form 2:21 - How to compare numbers in Standard Form 3:26 - Comparing with Positive vs. Negative Exponents 5:45 - Example 1: Sun vs. Earth size comparison 7:47 - Example 2: Adding the masses of the Earth and Moon 9:14 - Common mistakes to avoid 10:06 - Where will you use this? Real-world applications Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Khan Academy https://cdn.kastatic.org/ka-youtube-converted/4ISUtL3ZCic.mp4/4ISUtL3ZCic.mp4 648 Exponents and powers https://www.khanacademy.org/math/revision-tg-math-class-8/x9ce0e841a99d4a8a:week-1/x9ce0e841a99d4a8a:exponents-and-powers/e/revision-exponents-and-powers-tg-class-8 2026-02-18T21:20:35.275198076Z Revision exponents and powers TG class 8 . Khan Academy exercise