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Popular >

simplify (-a^3b)^4

Solution

simplify

(- a^{3} b)^{4}

Solution

a^{12} b^{4}

Solution steps

(- a^{3} b)^{4}

Apply exponent rule:

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

if

n

is even

(- a^{3} b)^{4} = (a^{3} b)^{4}

= (a^{3} b)^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(a^{3} b)^{4} = (a^{3})^{4} b^{4}

= (a^{3})^{4} b^{4}

Simplify

(a^{3})^{4} : a^{12}

= a^{12} b^{4}

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Frequently Asked Questions (FAQ)

What is (-a^3b)^4 ?
The solution to (-a^3b)^4 is a^{12}b^4