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Popular >

simplify (1/4)^{-5log_{2}(3)}

Solution

simplify

(\frac{1}{4})^{- 5 l o g_{2} (3)}

Solution

59049

Solution steps

(\frac{1}{4})^{- 5 l o g_{2} (3)}

Apply exponent rule:

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

(\frac{1}{4})^{- 5 l o g_{2} (3)} = \frac{1}{( \frac{1}{4} ) ^{5 l o g_{2} (3)}}

= \frac{1}{( \frac{1}{4} ) ^{5 l o g_{2} (3)}}

(\frac{1}{4})^{5 l o g_{2} (3)} = \frac{1}{59049}

= \frac{1}{\frac{1}{59049}}

\frac{1}{\frac{1}{59049}} = 59049

= 59049

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Frequently Asked Questions (FAQ)

What is (1/4)^{-5log_{2}(3)} ?
The solution to (1/4)^{-5log_{2}(3)} is 59049