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Popular >

simplify 2.16*5^{-4}

Solution

simplify

2.16 \cdot 5^{- 4}

Solution

\frac{54}{15625}

+1

Decimal Notation

0.003456

Solution steps

2.16 \cdot 5^{- 4}

Apply exponent rule:

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

5^{- 4} = \frac{1}{5 ^{4}}

= 2.16 \cdot \frac{1}{5 ^{4}}

5^{4} = 625

= 2.16 \cdot \frac{1}{625}

2.16 = \frac{54}{25}

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

\frac{54}{25} \cdot \frac{1}{625} = \frac{54}{15625}

= \frac{54}{15625}

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Frequently Asked Questions (FAQ)

What is 2.16*5^{-4} ?
The solution to 2.16*5^{-4} is 54/15625