What is (3m^{-4})^3(3m^5) ?

The solution to (3m^{-4})^3(3m^5) is (81)/(m^7)

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simplify (3m^{-4})^3(3m^5)

simplify

(3 m^{- 4})^{3} (3 m^{5})

\frac{81}{m ^{7}}

Solution steps

(3 m^{- 4})^{3} (3 m^{5})

Simplify

(3 m^{- 4})^{3} : \frac{27}{m ^{12}}

= \frac{27}{m ^{12}} \cdot 3 m^{5}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{27 \cdot 3 m ^{5}}{m ^{12}}

Simplify

\frac{m ^{5}}{m ^{12}} : \frac{1}{m ^{7}}

= \frac{27 \cdot 3}{m ^{7}}

Multiply the numbers:

27 \cdot 3 = 81

= \frac{81}{m ^{7}}

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

(8 x + 1)^{2} - (7 x - 5)^{2}

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

e^{2 t} + e^{2 t} + 2 t^{2}

0.75 (8 + e) = 2 - 1.25 e