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Popular >

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

Solution

simplify

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

Solution

\frac{64 x ^{12}}{y ^{12}}

Solution steps

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

Apply exponent rule:

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

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

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

4^{3} = 64

= 64 (x^{4})^{3} (y^{- 4})^{3}

Simplify

(x^{4})^{3} : x^{12}

= 64 x^{12} (y^{- 4})^{3}

Simplify

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

= 64 x^{12} \frac{1}{y ^{12}}

Simplify

64 x^{12} \frac{1}{y ^{12}} : \frac{64 x ^{12}}{y ^{12}}

= \frac{64 x ^{12}}{y ^{12}}

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(-1/2+2k)-(-8+1/8 k)=8

(- \frac{1}{2} + 2 k) - (- 8 + \frac{1}{8} k) = 8

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\frac{y + 4}{3} - 4 = 3 (2 y - 6) + 4

Frequently Asked Questions (FAQ)

What is (4x^4y^{-4})^3 ?
The solution to (4x^4y^{-4})^3 is (64x^{12})/(y^{12)}