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Popular >

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

Solution

simplify

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

Solution

\frac{( 2 5 ^{x} + 1 ) ^{2}}{2 5 ^{x}}

Solution steps

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

Simplify

5^{x} + 5^{- x} : \frac{2 5 ^{x} + 1}{5 ^{x}}

= (\frac{2 5 ^{x} + 1}{5 ^{x}})^{2}

Apply exponent rule:

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

= \frac{( 2 5 ^{x} + 1 ) ^{2}}{( 5 ^{x} ) ^{2}}

Simplify

(5^{x})^{2} : 2 5^{x}

= \frac{( 2 5 ^{x} + 1 ) ^{2}}{2 5 ^{x}}

Popular Examples

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\frac{2 x - 5}{5} + x

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(h - 1)^{3}

Frequently Asked Questions (FAQ)

What is (5^x+5^{-x})^2 ?
The solution to (5^x+5^{-x})^2 is ((25^x+1)^2)/(25^x)