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Popular >

simplify (1/4)^{1/2}*(0.1)^{-2}

Solution

simplify

(\frac{1}{4})^{\frac{1}{2}} \cdot (0.1)^{- 2}

Solution

50

Solution steps

(\frac{1}{4})^{\frac{1}{2}} \cdot 0. 1^{- 2}

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

= \frac{1}{2} \cdot 0. 1^{- 2}

Apply exponent rule:

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

0. 1^{- 2} = \frac{1}{0. 1 ^{2}}

= \frac{1}{2} \cdot \frac{1}{0. 1 ^{2}}

0. 1^{2} = 0.01

= \frac{1}{2} \cdot \frac{1}{0.01}

Divide the numbers:

\frac{1}{0.01} = 100

= \frac{1}{2} \cdot 100

\frac{1}{2} \cdot 100 = 50

= 50

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Frequently Asked Questions (FAQ)

What is (1/4)^{1/2}*(0.1)^{-2} ?
The solution to (1/4)^{1/2}*(0.1)^{-2} is 50