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 Exponential Notation and Operations https://www.khanacademy.org/math/ka-math-class-7/x26f4f4b84655c15c:exponents-and-powers-ncert-new/x26f4f4b84655c15c:exponents/v/1-and-1-to-different-powers-indian-accent 2025-06-06T15:33:38.563209632Z 1 and -1 to different powers Different exponents affect the value of a number: when raised to the power of zero, any number equals one; when raised to an even power, negative numbers yield positive results; and when raised to an odd power, negative numbers yield negative results. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 1 and -1 to different powers Different exponents affect the value of a number: when raised to the power of zero, any number equals one; when raised to an even power, negative numbers yield positive results; and when raised to an odd power, negative numbers yield negative results. https://cdn.kastatic.org/ka-youtube-converted/zVDAQrlNNMM.mp4/zVDAQrlNNMM.mp4 333 Exponential Notation and Operations https://www.khanacademy.org/math/class-7-tg/x476671d9fb9d8978:powers-and-exponents/x476671d9fb9d8978:untitled-305/e/exponents-2-a 2026-04-08T00:36:09.500768563Z Understanding exponents Basics of exponents ashish exercise 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 Exponential Notation and Operations https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/multiply-powers 2025-02-10T09:17:49.615690606Z Multiply powers Rewrite products of powers with the same base. For example, x²⋅x⁵ can be written as x⁷. Tome Gal exercise https://www.khanacademy.org/math/8th-grade-illustrative-math/unit-7-exponents-and-scientific-notation/lesson-6-what-about-other-bases/v/exponent-properties-with-parentheses-indian-accent 2025-06-06T15:33:38.563209632Z Exponent properties with parentheses Learn two exponent properties: (ab)^c = (a^c)*(b^c) and (a^b)^c = a ^ (b*c). See WHY they work and HOW to use them. In other words, multiplying two numbers, then raising the product to an exponent is the same as raising each number to that exponent and then multiplying. Raising a number to an exponent and then to another exponent equals raising the base to the product of the two exponents. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Exponent properties with parentheses Learn two exponent properties: (ab)^c = (a^c)*(b^c) and (a^b)^c = a ^ (b*c). See WHY they work and HOW to use them. In other words, multiplying two numbers, then raising the product to an exponent is the same as raising each number to that exponent and then multiplying. Raising a number to an exponent and then to another exponent equals raising the base to the product of the two exponents. https://cdn.kastatic.org/ka-youtube-converted/RUwsqBQmozA.mp4/RUwsqBQmozA.mp4 253 Exponential Notation and Operations https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/powers-of-powers 2025-02-10T09:17:49.615690606Z Powers of powers Rewrite powers of powers. For example, (x²)⁵ can be written as x¹⁰. Tomer Gal exercise 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 Exponential Notation and Operations https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/divide-powers 2025-02-10T09:17:49.615690606Z Divide powers Rewrite quotients of powers with the same base. For example, (x⁵)/(x²) can be written as x³. Tomer Gal exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/powers-of-products-and-quotients 2026-02-11T18:54:16.791156652Z Powers of products & quotients Rewrite powers of products and quotients. For example, (3⁵⋅x³)² can be written as 3¹⁰⋅x⁶. Tomer Gal exercise