How do you simplify ${(\frac{2 x^{4}}{3 x^{6} y^{4}})}^{4}$ $(\frac { 2x ^ { 4} } { 3x ^ { 6} y ^ { 4} } ) ^ { 4}$ ?

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How do you simplify ${(\frac{2 x^{4}}{3 x^{6} y^{4}})}^{4}$ $(\frac { 2x ^ { 4} } { 3x ^ { 6} y ^ { 4} } ) ^ { 4}$ ?

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Answer 1 · 2017-04-19T00:32:57

See explanation.

Explanation:

Since only multiplication is occuring, we can rewrite ${(\frac{2 x^{4}}{3 x^{6} y^{4}})}^{4}$ $((2x^4)/(3x^6y^4))^4$ as $⎛ ⎝ \frac{2^{4} {(x^{4})}^{4}}{3^{4} {(x^{6})}^{4} {(y^{4})}^{4}} ⎞ ⎠$ $((2^4(x^4)^4)/(3^4(x^6)^4(y^4)^4))$ , we can now simplify this, remember that ${(x^{a})}^{b} = x^{a \cdot b}$ $(x^a)^b = x^(a*b)$

Simplifying, we get:
$\frac{16 x^{16}}{81 x^{24} y^{16}}$ $(16x^16)/(81x^24y^16)$ , we can further simplify and get $\frac{16}{81 x^{8} y^{16}}$ $(16)/(81x^8y^16)$

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How do you simplify ${(\frac{2 x^{4}}{3 x^{6} y^{4}})}^{4}$ $(\frac { 2x ^ { 4} } { 3x ^ { 6} y ^ { 4} } ) ^ { 4}$ ?

1 Answer

Explanation:

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Explanation:

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How do you simplify ${(\frac{2 x^{4}}{3 x^{6} y^{4}})}^{4}$ $(\frac { 2x ^ { 4} } { 3x ^ { 6} y ^ { 4} } ) ^ { 4}$ ?