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: $\left(\frac{2}{3}\right)^{-2} = \left(\frac{3}{2}\right)^2 = \frac{9}{4}$(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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