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Popular >

simplify 2(29+4(5))^{-1/2}

Solution

simplify

2 (29 + 4 (5))^{- \frac{1}{2}}

Solution

\frac{2}{7}

+1

Decimal Notation

0.28571 \dots

Solution steps

2 (29 + 4 (5))^{- \frac{1}{2}}

Apply rule:

(a) = a

(5) = 5

= 2 (29 + 4 \cdot 5)^{- \frac{1}{2}}

Apply exponent rule:

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

(29 + 4 \cdot 5)^{- \frac{1}{2}} = \frac{1}{( 29 + 4 \cdot 5 ) ^{\frac{1}{2}}}

= 2 \cdot \frac{1}{( 29 + 4 \cdot 5 ) ^{\frac{1}{2}}}

(29 + 4 \cdot 5)^{\frac{1}{2}} = 7

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

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

= \frac{2}{7}

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Frequently Asked Questions (FAQ)

What is 2(29+4(5))^{-1/2} ?
The solution to 2(29+4(5))^{-1/2} is 2/7