What is ((2m^2)/(3m^6n^2))^4 ?

The solution to ((2m^2)/(3m^6n^2))^4 is (16)/(81m^{16)n^8}

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simplify ((2m^2)/(3m^6n^2))^4

simplify

(\frac{2 m ^{2}}{3 m ^{6} n ^{2}})^{4}

\frac{16}{81 m ^{16} n ^{8}}

Solution steps

(\frac{2 m ^{2}}{3 m ^{6} n ^{2}})^{4}

Apply exponent rule:

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

= \frac{( 2 m ^{2} ) ^{4}}{( 3 m ^{6} n ^{2} ) ^{4}}

Simplify

(2 m^{2})^{4} : 16 m^{8}

= \frac{16 m ^{8}}{( 3 m ^{6} n ^{2} ) ^{4}}

Simplify

(3 m^{6} n^{2})^{4} : 81 m^{24} n^{8}

= \frac{16 m ^{8}}{81 m ^{24} n ^{8}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{m ^{8}}{m ^{24}} = \frac{1}{m ^{24 - 8}}

= \frac{16}{81 n ^{8} m ^{24 - 8}}

Subtract the numbers:

24 - 8 = 16

= \frac{16}{81 m ^{16} n ^{8}}

∣ 4 - 5 x ∣ \geq 6

10 x^{2} + 23 x - 21 = 0

\frac{x}{5} \geq - 2

9 r^{4} - 121 v^{2}

14 x + 2 = 9 x - 3

What is ((2m^2)/(3m^6n^2))^4 ?
The solution to ((2m^2)/(3m^6n^2))^4 is (16)/(81m^{16)n^8}