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Popular >

simplify 2.16*5^{-2}

Solution

simplify

2.16 \cdot 5^{- 2}

Solution

\frac{54}{625}

+1

Decimal Notation

0.0864

Solution steps

2.16 \cdot 5^{- 2}

Apply exponent rule:

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

5^{- 2} = \frac{1}{5 ^{2}}

= 2.16 \cdot \frac{1}{5 ^{2}}

5^{2} = 25

= 2.16 \cdot \frac{1}{25}

2.16 = \frac{54}{25}

= \frac{54}{25} \cdot \frac{1}{25}

\frac{54}{25} \cdot \frac{1}{25} = \frac{54}{625}

= \frac{54}{625}

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Frequently Asked Questions (FAQ)

What is 2.16*5^{-2} ?
The solution to 2.16*5^{-2} is 54/625