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Popular >

simplify (10^{-2})^2

Solution

simplify

(1 0^{- 2})^{2}

Solution

\frac{1}{10000}

+1

Decimal Notation

0.0001

Solution steps

(1 0^{- 2})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 1 0^{- 2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= 1 0^{- 4}

Apply exponent rule:

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

1 0^{- 4} = \frac{1}{1 0 ^{4}}

= \frac{1}{1 0 ^{4}}

1 0^{4} = 10000

= \frac{1}{10000}

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Frequently Asked Questions (FAQ)

What is (10^{-2})^2 ?
The solution to (10^{-2})^2 is 1/10000