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Negative Exponents and Power of a Power

Numbers and Decimals Negative Exponents and Power of a Power

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(0:10) How to Simplify Negative Exponents: A negative exponent means taking the reciprocal of the base with its positive exponent. For example: $2^{- 3} = \frac{1}{2^{3}} = \frac{1}{8}$
(1:03) Applying Negative Indices Rule on Fractions: Flip the fraction and use the positive index. For example: ${(\frac{2}{3})}^{- 2} = {(\frac{3}{2})}^{2} = \frac{9}{4}$
(1:34) What is Power of a Power Rule?: When raising a power to a power, multiply the indices. For example: $(2^{3})^{5} = 2^{3 \times 5} = 2^{15}$

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Indices rules showing negative exponents and power of a power with examples. — Negative Exponents & Power of a Power

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