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Popular >

simplify (2^{-1}+5^{-1})^2

Solution

simplify

(2^{- 1} + 5^{- 1})^{2}

Solution

\frac{49}{100}

+1

Solution steps

(2^{- 1} + 5^{- 1})^{2}

Simplify

2^{- 1} + 5^{- 1} : \frac{7}{10}

= (\frac{7}{10})^{2}

Apply exponent rule:

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

= \frac{7 ^{2}}{1 0 ^{2}}

7^{2} = 49

= \frac{49}{1 0 ^{2}}

1 0^{2} = 100

= \frac{49}{100}

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Frequently Asked Questions (FAQ)

What is (2^{-1}+5^{-1})^2 ?
The solution to (2^{-1}+5^{-1})^2 is 49/100