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Popular >

simplify (1/2)^{-2t}

Solution

simplify

(\frac{1}{2})^{- 2 t}

Solution

4^{t}

Solution steps

(\frac{1}{2})^{- 2 t}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{1}{2})^{- 2 t} = \frac{1}{( \frac{1}{2} ) ^{2 t}}

= \frac{1}{( \frac{1}{2} ) ^{2 t}}

Simplify

(\frac{1}{2})^{2 t} : \frac{1}{4 ^{t}}

= \frac{1}{\frac{1}{4 ^{t}}}

Simplify

\frac{1}{\frac{1}{4 ^{t}}} : 4^{t}

= 4^{t}

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Frequently Asked Questions (FAQ)

What is (1/2)^{-2t} ?
The solution to (1/2)^{-2t} is 4^t