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Popular >

simplify (3x^{-4}y^3)^2

Solution

simplify

(3 x^{- 4} y^{3})^{2}

Solution

\frac{9 y ^{6}}{x ^{8}}

Solution steps

(3 x^{- 4} y^{3})^{2}

Apply exponent rule:

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

(3 x^{- 4} y^{3})^{2} = 3^{2} (x^{- 4})^{2} (y^{3})^{2}

= 3^{2} (x^{- 4})^{2} (y^{3})^{2}

3^{2} = 9

= 9 (x^{- 4})^{2} (y^{3})^{2}

Simplify

(x^{- 4})^{2} : \frac{1}{x ^{8}}

= 9 \cdot \frac{1}{x ^{8}} (y^{3})^{2}

Simplify

(y^{3})^{2} : y^{6}

= 9 \cdot \frac{1}{x ^{8}} y^{6}

Simplify

9 \cdot \frac{1}{x ^{8}} y^{6} : \frac{9 y ^{6}}{x ^{8}}

= \frac{9 y ^{6}}{x ^{8}}

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Frequently Asked Questions (FAQ)

What is (3x^{-4}y^3)^2 ?
The solution to (3x^{-4}y^3)^2 is (9y^6)/(x^8)