What is ({(7^m)^{-4}*(14^m)^3})/(((128*7^2)^m)) ?

The solution to ({(7^m)^{-4}*(14^m)^3})/(((128*7^2)^m)) is 1/(5488^m)

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simplify ({(7^m)^{-4}(14^m)^3})/(((1287^2)^m))

simplify

\frac{{ ( 7 ^{m} ) ^{- 4} \cdot ( 1 4 ^{m} ) ^{3} }}{( ( 128 \cdot 7 ^{2} ) ^{m} )}

\frac{1}{548 8 ^{m}}

Solution steps

\frac{( 7 ^{m} ) ^{- 4} ( 1 4 ^{m} ) ^{3}}{( 128 \cdot 7 ^{2} ) ^{m}}

Simplify

(7^{m})^{- 4} (1 4^{m})^{3} : \frac{1}{7 ^{4 m}} \cdot 1 4^{m \cdot 3}

= \frac{\frac{1}{7 ^{4 m}} \cdot 1 4 ^{m \cdot 3}}{( 128 \cdot 7 ^{2} ) ^{m}}

Simplify

(128 \cdot 7^{2})^{m} : 12 8^{m} \cdot 7^{2 m}

= \frac{\frac{1}{7 ^{4 m}} \cdot 1 4 ^{m \cdot 3}}{12 8 ^{m} \cdot 7 ^{2 m}}

Factor

1 4^{m \cdot 3} : 2^{m \cdot 3} \cdot 7^{m \cdot 3}

= \frac{\frac{1}{7 ^{4 m}} \cdot 2 ^{m \cdot 3} \cdot 7 ^{m \cdot 3}}{12 8 ^{m} \cdot 7 ^{2 m}}

Factor

12 8^{m} : 2^{7 m}

= \frac{\frac{1}{7 ^{4 m}} \cdot 2 ^{m \cdot 3} \cdot 7 ^{m \cdot 3}}{2 ^{7 m} \cdot 7 ^{2 m}}

Simplify

\frac{2 ^{m \cdot 3}}{2 ^{7 m}} : \frac{1}{2 ^{4 m}}

= \frac{\frac{1}{7 ^{4 m}} \cdot 7 ^{m \cdot 3}}{2 ^{4 m} \cdot 7 ^{2 m}}

Simplify

\frac{7 ^{m \cdot 3}}{7 ^{2 m}} : 7^{m}

= \frac{\frac{1}{7 ^{4 m}} \cdot 7 ^{m}}{2 ^{4 m}}

Simplify

\frac{\frac{1}{7 ^{4 m}} \cdot 7 ^{m}}{2 ^{4 m}} : \frac{1}{548 8 ^{m}}

= \frac{1}{548 8 ^{m}}

m^{3} + 6 m^{2} + 12 m + 8

75 b^{2} \cdot c^{3} + 60 b \cdot c^{6}

1 x + 3 x

\frac{4}{3 x ^{n + 1} \cdot x ^{2} x y}

4 x^{2} + 8 x^{2} y

What is ({(7^m)^{-4}*(14^m)^3})/(((128*7^2)^m)) ?
The solution to ({(7^m)^{-4}*(14^m)^3})/(((128*7^2)^m)) is 1/(5488^m)