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Popular >

simplify (3x^5y^{-7})^2

Solution

simplify

(3 x^{5} y^{- 7})^{2}

Solution

\frac{9 x ^{10}}{y ^{14}}

Solution steps

(3 x^{5} y^{- 7})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 x^{5} y^{- 7})^{2} = 3^{2} (x^{5})^{2} (y^{- 7})^{2}

= 3^{2} (x^{5})^{2} (y^{- 7})^{2}

3^{2} = 9

= 9 (x^{5})^{2} (y^{- 7})^{2}

Simplify

(x^{5})^{2} : x^{10}

= 9 x^{10} (y^{- 7})^{2}

Simplify

(y^{- 7})^{2} : \frac{1}{y ^{14}}

= 9 x^{10} \frac{1}{y ^{14}}

Simplify

9 x^{10} \frac{1}{y ^{14}} : \frac{9 x ^{10}}{y ^{14}}

= \frac{9 x ^{10}}{y ^{14}}

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Frequently Asked Questions (FAQ)

What is (3x^5y^{-7})^2 ?
The solution to (3x^5y^{-7})^2 is (9x^{10})/(y^{14)}