en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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 (5b^{-2})/(b^{-3)}simplify

\frac{5 b ^{- 2}}{b ^{- 3}}

∣ 2 x + 3 ∣ + 5 < 4

(x - 5)^{2} = 25

simplify-(12)/(-6)simplify

- \frac{12}{- 6}

simplify ((8x^{-3}y))/(24y^{-4)x^2}simplify

\frac{( 8 x ^{- 3} y )}{24 y ^{- 4} x ^{2}}

Frequently Asked Questions (FAQ)

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