Negative Indices and Power of a Power

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  • (0:10) Negative Indices Rule: A negative index means taking the reciprocal of the base with a positive index. For example: $2^{-3} = \frac{1}{2^3} = \frac{1}{8}$
  • (1:03) Applying Negative Indices 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) Power of a Power Rule: When raising a power to another power, multiply the indices. For example: $(2^3)^5 = 2^{3 \times 5} = 2^{15}$

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