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Popular >

simplify (10^2)/(10^4)

Solution

simplify

\frac{1 0 ^{2}}{1 0 ^{4}}

Solution

\frac{1}{100}

+1

Decimal Notation

0.01

Solution steps

\frac{1 0 ^{2}}{1 0 ^{4}}

Apply exponent rule:

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

= 1 0^{2 - 4}

Subtract the numbers:

2 - 4 = - 2

= 1 0^{- 2}

Apply exponent rule:

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

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

1 0^{2} = 100

= \frac{1}{100}

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Frequently Asked Questions (FAQ)

What is (10^2)/(10^4) ?
The solution to (10^2)/(10^4) is 1/100