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Popular >

simplify (16/49)^{(-1)/2}

Solution

simplify

(\frac{16}{49})^{\frac{- 1}{2}}

Solution

\frac{7}{4}

+1

Decimal Notation

1.75

Solution steps

(\frac{16}{49})^{\frac{- 1}{2}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 6 ^{\frac{- 1}{2}}}{4 9 ^{\frac{- 1}{2}}}

1 6^{\frac{- 1}{2}} = \frac{1}{4}

= \frac{\frac{1}{4}}{4 9 ^{\frac{- 1}{2}}}

4 9^{\frac{- 1}{2}} = \frac{1}{7}

= \frac{\frac{1}{4}}{\frac{1}{7}}

\frac{\frac{1}{4}}{\frac{1}{7}} = \frac{7}{4}

= \frac{7}{4}

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Frequently Asked Questions (FAQ)

What is (16/49)^{(-1)/2} ?
The solution to (16/49)^{(-1)/2} is 7/4