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Popular >

simplify ((-2m^4)^2)/(8m^2)

Solution

simplify

\frac{( - 2 m ^{4} ) ^{2}}{8 m ^{2}}

Solution

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

Solution steps

\frac{( - 2 m ^{4} ) ^{2}}{8 m ^{2}}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 2 m^{4})^{2} = (2 m^{4})^{2}

= \frac{( 2 m ^{4} ) ^{2}}{8 m ^{2}}

Simplify

(2 m^{4})^{2} : 2^{2} m^{8}

= \frac{2 ^{2} m ^{8}}{8 m ^{2}}

Factor the number:

8 = 2^{3}

= \frac{2 ^{2} m ^{8}}{2 ^{3} m ^{2}}

\frac{2 ^{2}}{2 ^{3}} = \frac{1}{2}

= \frac{m ^{8}}{2 m ^{2}}

Simplify

\frac{m ^{8}}{m ^{2}} : m^{6}

= \frac{m ^{6}}{2}

Popular Examples

simplify a^{2/5}*a^{-3}simplify

a^{\frac{2}{5}} \cdot a^{- 3}

simplify 1/4-1/36 simplify

\frac{1}{4} - \frac{1}{36}

simplify sqrt(3)-sqrt(108)simplify

3 - 108

\frac{1}{3} x + 2 = 3

\frac{2}{3} x - \frac{1}{5} = 6

Frequently Asked Questions (FAQ)

What is ((-2m^4)^2)/(8m^2) ?
The solution to ((-2m^4)^2)/(8m^2) is (m^6)/2