What is (12^{3m})/((2^{3m))*9^{-2m}} ?

The solution to (12^{3m})/((2^{3m))*9^{-2m}} is 17496^m

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simplify (12^{3m})/((2^{3m))*9^{-2m}}

simplify

\frac{1 2 ^{3 m}}{( 2 ^{3 m} ) \cdot 9 ^{- 2 m}}

1749 6^{m}

Solution steps

\frac{1 2 ^{3 m}}{( 2 ^{3 m} ) \cdot 9 ^{- 2 m}}

Apply rule:

(a) = a

(2^{3 m}) = 2^{3 m}

= \frac{1 2 ^{3 m}}{2 ^{3 m} \cdot 9 ^{- 2 m}}

Factor

1 2^{3 m} : 2^{6 m} \cdot 3^{3 m}

= \frac{2 ^{6 m} \cdot 3 ^{3 m}}{2 ^{3 m} \cdot 9 ^{- 2 m}}

Simplify

\frac{2 ^{6 m}}{2 ^{3 m}} : 2^{3 m}

= \frac{2 ^{3 m} \cdot 3 ^{3 m}}{9 ^{- 2 m}}

Factor

9^{- 2 m} : 3^{- 4 m}

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

Simplify

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

= 2^{3 m} \cdot 3^{7 m}

Simplify

2^{3 m} \cdot 3^{7 m} : 1749 6^{m}

= 1749 6^{m}

8 (x + y)^{3} - 50 (x + y)

\frac{1}{( 1 - \frac{e}{x ^{2}} )}

2 x sin (x) + x^{2} cos (x)

\frac{4 cos ( x )}{cos ^{3} ( x )}

16 x^{2} - (3 x + 1)^{2}

What is (12^{3m})/((2^{3m))*9^{-2m}} ?
The solution to (12^{3m})/((2^{3m))*9^{-2m}} is 17496^m