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Popular >

simplify 3*6.25^{-1/2}

Solution

simplify

3 \cdot 6.2 5^{- \frac{1}{2}}

Solution

\frac{6}{5}

+1

Decimal Notation

1.2

Solution steps

3 \cdot 6.2 5^{- \frac{1}{2}}

Apply exponent rule:

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

6.2 5^{- \frac{1}{2}} = \frac{1}{6.2 5 ^{\frac{1}{2}}}

= 3 \cdot \frac{1}{6.2 5 ^{\frac{1}{2}}}

6.2 5^{\frac{1}{2}} = \frac{5}{2}

= 3 \cdot \frac{1}{\frac{5}{2}}

Apply the fraction rule:

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

= 3 \cdot \frac{2}{5}

3 \cdot \frac{2}{5} = \frac{6}{5}

= \frac{6}{5}

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Frequently Asked Questions (FAQ)

What is 3*6.25^{-1/2} ?
The solution to 3*6.25^{-1/2} is 6/5