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 Laws of exponents 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 Laws of exponents 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 Laws of exponents 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