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Popular >

simplify (12x^{-4}y^8)^3

Solution

simplify

(12 x^{- 4} y^{8})^{3}

Solution

\frac{1728 y ^{24}}{x ^{12}}

Solution steps

(12 x^{- 4} y^{8})^{3}

Apply exponent rule:

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

(12 x^{- 4} y^{8})^{3} = 1 2^{3} (x^{- 4})^{3} (y^{8})^{3}

= 1 2^{3} (x^{- 4})^{3} (y^{8})^{3}

1 2^{3} = 1728

= 1728 (x^{- 4})^{3} (y^{8})^{3}

Simplify

(x^{- 4})^{3} : \frac{1}{x ^{12}}

= 1728 \cdot \frac{1}{x ^{12}} (y^{8})^{3}

Simplify

(y^{8})^{3} : y^{24}

= 1728 \cdot \frac{1}{x ^{12}} y^{24}

Simplify

1728 \cdot \frac{1}{x ^{12}} y^{24} : \frac{1728 y ^{24}}{x ^{12}}

= \frac{1728 y ^{24}}{x ^{12}}

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Frequently Asked Questions (FAQ)

What is (12x^{-4}y^8)^3 ?
The solution to (12x^{-4}y^8)^3 is (1728y^{24})/(x^{12)}