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Popular >

simplify (3x)^2x^{-7}

Solution

simplify

(3 x)^{2} x^{- 7}

Solution

\frac{9}{x ^{5}}

Solution steps

(3 x)^{2} x^{- 7}

Simplify

(3 x)^{2} : 9 x^{2}

= 9 x^{2} x^{- 7}

Apply exponent rule:

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

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

= 9 x^{2} \frac{1}{x ^{7}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{9 x ^{2} \cdot 1}{x ^{7}}

Multiply the numbers:

9 \cdot 1 = 9

= \frac{9 x ^{2}}{x ^{7}}

Simplify

\frac{x ^{2}}{x ^{7}} : \frac{1}{x ^{5}}

= \frac{9}{x ^{5}}

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Frequently Asked Questions (FAQ)

What is (3x)^2x^{-7} ?
The solution to (3x)^2x^{-7} is 9/(x^5)