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 Indices 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 Indices 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 Indices 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 Indices 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 Indices https://www.khanacademy.org/math/revision-term-1-mh-math-class-7/x0bdc8a5f9d8ec377:week-3/x0bdc8a5f9d8ec377:indices/v/scientific-notation-examples-indian-accent 2025-06-06T15:33:38.563209632Z Scientific notation examples More scientific notation examples Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Scientific notation examples More scientific notation examples https://cdn.kastatic.org/ka-youtube-converted/iWHGFEogFAw.mp4/iWHGFEogFAw.mp4 768 Indices https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-2/x36423c781f0794f3:squares-and-square-roots/v/understanding-square-roots-indian-accent 2025-06-06T15:33:38.563209632Z Understanding square roots Learn how square root means what number multiplied by itself will result in the given number. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Understanding square roots Learn how square root means what number multiplied by itself will result in the given number. https://cdn.kastatic.org/ka-youtube-converted/DLmBhanInA0.mp4/DLmBhanInA0.mp4 81 Indices https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:simplifying-square-roots/v/simplifying-square-roots-1 2021-06-15T15:59:48Z Simplifying square roots Roots are nice, but we prefer dealing with regular numbers as much as possible. So, for example, instead of √4 we prefer dealing with 2. What about roots that aren't equal to an integer, like √20? Still, we can write 20 as 4⋅5 and then use known properties to write √(4⋅5) as √4⋅√5, which is 2√5. We *simplified* √20. Sal Khan video https://cdn.kastatic.org/googleusercontent/d7Em5BQ44iFafCzEh5eoNNi5HfjNVbnqGN0LzgQHMyGlxqjmkSLhHFv7rncwilYMp1OR_pY32IhYdpCTluMOUfrodQ Simplifying square roots Roots are nice, but we prefer dealing with regular numbers as much as possible. So, for example, instead of √4 we prefer dealing with 2. What about roots that aren't equal to an integer, like √20? Still, we can write 20 as 4⋅5 and then use known properties to write √(4⋅5) as √4⋅√5, which is 2√5. We *simplified* √20. https://cdn.kastatic.org/ka-youtube-converted/cw3mp8oNASk.mp4/cw3mp8oNASk.mp4 189 Indices https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/v/approximating-square-roots 2023-08-07T13:58:57.555381582Z Approximating square roots to hundredths Let's approximate the square root of 45 without a calculator. We'll explore how to find the perfect squares around 45 and use them to make an educated guess. Then, we'll refine our guess by squaring it to see how close we get to 45. Sal Khan video https://cdn.kastatic.org/googleusercontent/rvgxpjyAgpy4kH7bCczmcV-3voQXbrAZ7pWpZ9JezFxBJA4E3YXCRWppeDapawBmuhhANH-bUUdKq3_Twos3Je_vdQ Approximating square roots to hundredths Let's approximate the square root of 45 without a calculator. We'll explore how to find the perfect squares around 45 and use them to make an educated guess. Then, we'll refine our guess by squaring it to see how close we get to 45. https://cdn.kastatic.org/ka-youtube-converted/EFVrAk61xjE.mp4/EFVrAk61xjE.mp4 432 Indices https://www.khanacademy.org/math/revision-mh-math-class-7/xa11c0f43538c6736:week-2/xa11c0f43538c6736:indices/e/revision-indices-mh-class-7 2026-01-28T03:50:33.306290623Z Revision Indices MH class 7 . Khan Academy exercise