What is ((y^7)^3)/(x^{14)} ?

The solution to ((y^7)^3)/(x^{14)} is (y^{21})/(x^{14)}

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simplify ((y^7)^3)/(x^{14)}

simplify

\frac{( y ^{7} ) ^{3}}{x ^{14}}

\frac{y ^{21}}{x ^{14}}

Solution steps

\frac{( y ^{7} ) ^{3}}{x ^{14}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(y^{7})^{3} = y^{7 \cdot 3}

= \frac{y ^{7 \cdot 3}}{x ^{14}}

Multiply the numbers:

7 \cdot 3 = 21

= \frac{y ^{21}}{x ^{14}}

\frac{2}{1} - \frac{3}{2}

72 x^{5} - 72 x^{3} - 80 x^{2}

\frac{405}{324}

\frac{29}{4}

\frac{48}{- 12}

What is ((y^7)^3)/(x^{14)} ?
The solution to ((y^7)^3)/(x^{14)} is (y^{21})/(x^{14)}