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

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Answer 1 · 2017-06-08T05:09:12

${(\frac{y}{x^{4}})}^{3} = \frac{y^{3}}{x^{12}}$ $(y/x^4)^3=y^3/x^12$

We can use the formulas ${(\frac{a}{b})}^{m} = \frac{a^{m}}{b^{m}}$ $(a/b)^m=a^m/b^m$ and ${(a^{m})}^{n} = a^{m n}$ $(a^m)^n=a^(mn)$

Hence, ${(\frac{y}{x^{4}})}^{3}$ $(y/x^4)^3$

= $\frac{y^{3}}{{(x^{4})}^{3}}$ $y^3/(x^4)^3$

= $\frac{y^{3}}{x^{4 \times 3}}$ $y^3/x^(4xx3)$

= $\frac{y^{3}}{x^{12}}$ $y^3/x^12$

How do you simplify (yx4)3(y/x^4)^3?