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

The solution to ((4a^{3n})/(2a^{2m)})^{-2} is 1/(4a^{6n-4m)}

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

simplify

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

\frac{1}{4 a ^{6 n - 4 m}}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{4 a ^{3 n}}{2 a ^{2 m}})^{- 2} = \frac{1}{( \frac{4 a ^{3 n}}{2 a ^{2 m}} ) ^{2}}

= \frac{1}{( \frac{4 a ^{3 n}}{2 a ^{2 m}} ) ^{2}}

Simplify

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

= \frac{1}{4 a ^{6 n - 4 m}}

800 r^{3} + 2400 r^{2} + 2400 r + 800

∣ x ∣ = 4

9 x^{2} - 400

∣ x - 2 ∣ + 3 > 5

\frac{18}{3}

What is ((4a^{3n})/(2a^{2m)})^{-2} ?
The solution to ((4a^{3n})/(2a^{2m)})^{-2} is 1/(4a^{6n-4m)}