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Popular >

simplify (6*10^{-2})^{-2}

Solution

simplify

(6 \cdot 1 0^{- 2})^{- 2}

Solution

\frac{2500}{9}

+1

Decimal Notation

277.77777 \dots

Solution steps

(6 \cdot 1 0^{- 2})^{- 2}

Apply exponent rule:

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

(6 \cdot 1 0^{- 2})^{- 2} = \frac{1}{( 6 \cdot 1 0 ^{- 2} ) ^{2}}

= \frac{1}{( 6 \cdot 1 0 ^{- 2} ) ^{2}}

(6 \cdot 1 0^{- 2})^{2} = \frac{9}{2500}

= \frac{1}{\frac{9}{2500}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{2500}{9}

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Frequently Asked Questions (FAQ)

What is (6*10^{-2})^{-2} ?
The solution to (6*10^{-2})^{-2} is 2500/9