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Popular >

simplify (1/(4a^8)*a^2)^{-1/2}

Solution

simplify

(\frac{1}{4 a ^{8}} \cdot a^{2})^{- \frac{1}{2}}

Solution

2 a^{3}

Solution steps

(\frac{1}{4 a ^{8}} a^{2})^{- \frac{1}{2}}

Apply exponent rule:

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

(\frac{1}{4 a ^{8}} a^{2})^{- \frac{1}{2}} = \frac{1}{( \frac{1}{4 a ^{8}} a ^{2} ) ^{\frac{1}{2}}}

= \frac{1}{( \frac{1}{4 a ^{8}} a ^{2} ) ^{\frac{1}{2}}}

Simplify

(\frac{1}{4 a ^{8}} a^{2})^{\frac{1}{2}} : \frac{1}{2 a ^{3}}

= \frac{1}{\frac{1}{2 a ^{3}}}

Simplify

\frac{1}{\frac{1}{2 a ^{3}}} : 2 a^{3}

= 2 a^{3}

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Frequently Asked Questions (FAQ)

What is (1/(4a^8)*a^2)^{-1/2} ?
The solution to (1/(4a^8)*a^2)^{-1/2} is 2a^3