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MakcuM [25]
3 years ago
9

Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1/4^-1/2 = ___ a0

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

For this case we have, by definition:


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

So, we have:


\frac{1}{4}^{-\frac{1}{2}}=\frac{1}{(\frac{1}{4})^{\frac{1}{2}}}

On the other hand we have that by definition:


a^{\frac{1}{2}}=\sqrt{a}

Thus, the expression can be written as:


\frac{1}{\sqrt {\frac{1}{4}}} =

\frac{1}{\frac{1}{\sqrt{4}}}

\frac{1}{\frac{1}{2}}

\frac{1*2}{1*1}=2

So, we have:


\frac{1}{4}^{-\frac{1}{2}}= 2

Answer:


\frac{1}{4}^{-\frac{1}{2}}= 2


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