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Popular >

simplify 49^{(-1)/2}

Solution

simplify

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

Solution

\frac{1}{7}

+1

Decimal Notation

0.14285 \dots

Solution steps

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

Factor the number:

49 = 7^{2}

= (7^{2})^{\frac{- 1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 7^{2 \cdot \frac{- 1}{2}}

2 \cdot \frac{- 1}{2} = - 1

= 7^{- 1}

Apply exponent rule:

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

7^{- 1} = \frac{1}{7}

= \frac{1}{7}

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Frequently Asked Questions (FAQ)

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