Alg1.1.5

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(2a^{-3}b^2)^{-2}\,

Each of the three terms, 2\,, a^{-3}\,, and b^2\, is raised to the power -2\,. In the case of an exponent raised to an exponent, multiply the exponents to find the new exponents.

2^{-2}a^{-3\cdot-2}b^{2\cdot-2}\,

Remember that x^{-p} = \frac{1}{x^p}\,

\frac{1}{4}a^6b^{-4}\,

Algebra

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