What is ((8n^2)/(7n))^3 ?

The solution to ((8n^2)/(7n))^3 is (512n^3)/(343)

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simplify ((8n^2)/(7n))^3

simplify

(\frac{8 n ^{2}}{7 n})^{3}

\frac{512 n ^{3}}{343}

Solution steps

(\frac{8 n ^{2}}{7 n})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 8 n ^{2} ) ^{3}}{( 7 n ) ^{3}}

Simplify

(8 n^{2})^{3} : 512 n^{6}

= \frac{512 n ^{6}}{( 7 n ) ^{3}}

Simplify

(7 n)^{3} : 343 n^{3}

= \frac{512 n ^{6}}{343 n ^{3}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{n ^{6}}{n ^{3}} = n^{6 - 3}

= \frac{512 n ^{6 - 3}}{343}

Subtract the numbers:

6 - 3 = 3

= \frac{512 n ^{3}}{343}

\frac{5 ^{y}}{5 ^{2 - y}}

\frac{- 8}{17}

x = e^{2} x^{2} - e^{2} x - 6 e^{2} - 14

x^{2} + 64 = 25