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Popular >

expand (1+x/7)^{-2}

Solution

expand

(1 + \frac{x}{7})^{- 2}

Solution

\frac{49}{( x + 7 ) ^{2}}

Solution steps

(1 + \frac{x}{7})^{- 2}

Apply exponent rule:

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

= \frac{1}{( 1 + \frac{x}{7} ) ^{2}}

(1 + \frac{x}{7})^{2} = \frac{( 7 + x ) ^{2}}{7 ^{2}}

= \frac{1}{\frac{( 7 + x ) ^{2}}{7 ^{2}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{7 ^{2}}{( 7 + x ) ^{2}}

7^{2} = 49

= \frac{49}{( 7 + x ) ^{2}}

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Frequently Asked Questions (FAQ)

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