What is ((2mn)^4)/(6m^{-3)n^{-2}} ?

The solution to ((2mn)^4)/(6m^{-3)n^{-2}} is (8m^7n^6)/3

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simplify ((2mn)^4)/(6m^{-3)n^{-2}}

simplify

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

\frac{8 m ^{7} n ^{6}}{3}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 mn)^{4} = 2^{4} m^{4} n^{4}

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

Factor the number:

6 = 2 \cdot 3

= \frac{2 ^{4} m ^{4} n ^{4}}{2 \cdot 3 m ^{- 3} n ^{- 2}}

\frac{2 ^{4}}{2} = 2^{3}

= \frac{2 ^{3} m ^{4} n ^{4}}{3 m ^{- 3} n ^{- 2}}

Simplify

\frac{m ^{4}}{m ^{- 3}} : m^{7}

= \frac{2 ^{3} m ^{7} n ^{4}}{3 n ^{- 2}}

Simplify

\frac{n ^{4}}{n ^{- 2}} : n^{6}

= \frac{2 ^{3} m ^{7} n ^{6}}{3}

2^{3} = 8

= \frac{8 m ^{7} n ^{6}}{3}

- y = \frac{6}{- 2}

4 x - 2 (x - 3) \geq 0

12 x^{3} - 69 x^{2} + 39 x + 30

(8 (- 393.5) + 10 (- 241.8)) - (2 (- 125.7))

2 x + 1 < 3 - x < 2 x + 5

What is ((2mn)^4)/(6m^{-3)n^{-2}} ?
The solution to ((2mn)^4)/(6m^{-3)n^{-2}} is (8m^7n^6)/3