What is (5(m^{-2})^3)/(20m^9) ?

The solution to (5(m^{-2})^3)/(20m^9) is 1/(4m^{15)}

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simplify (5(m^{-2})^3)/(20m^9)

simplify

\frac{5 ( m ^{- 2} ) ^{3}}{20 m ^{9}}

\frac{1}{4 m ^{15}}

Solution steps

\frac{5 ( m ^{- 2} ) ^{3}}{20 m ^{9}}

Simplify

(m^{- 2})^{3} : \frac{1}{m ^{6}}

= \frac{5 \cdot \frac{1}{m ^{6}}}{20 m ^{9}}

Factor the number:

20 = 5 \cdot 4

= \frac{5 \cdot \frac{1}{m ^{6}}}{5 \cdot 4 m ^{9}}

Cancel the common factor:

5

= \frac{\frac{1}{m ^{6}}}{4 m ^{9}}

Simplify

\frac{\frac{1}{m ^{6}}}{4 m ^{9}} : \frac{1}{m ^{15} \cdot 4}

= \frac{1}{m ^{15} \cdot 4}

= \frac{1}{4 m ^{15}}

∣ 2 x + 5 ∣ > 3

2 x^{3} + 3 x^{2} - 1 > 0

5 \cdot 70

x^{2} + 3 x + 2 x^{2}

3121

What is (5(m^{-2})^3)/(20m^9) ?
The solution to (5(m^{-2})^3)/(20m^9) is 1/(4m^{15)}