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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 (- \frac{1}{2})}

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

= 7^{- 1}

Apply exponent rule:

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

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

= \frac{1}{7}

Popular Examples

m-4>5\lor m-7<-13

m - 4 > 5 or m - 7 < - 13

2 x^{2} - 5 x - 33 = 0

factor 2a^2b^2-2a^2-2ab^3+2ab factor

2 a^{2} b^{2} - 2 a^{2} - 2 a b^{3} + 2 ab

simplify 2/3 (25)^{3/2}simplify

\frac{2}{3} (25)^{\frac{3}{2}}

4 x + 3 x^{2} - 5 = 0

Frequently Asked Questions (FAQ)

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