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Popular >

simplify (-3a^2b)^4

Solution

simplify

(- 3 a^{2} b)^{4}

Solution

81 a^{8} b^{4}

Solution steps

(- 3 a^{2} b)^{4}

Apply exponent rule:

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

if

n

is even

(- 3 a^{2} b)^{4} = (3 a^{2} b)^{4}

= (3 a^{2} b)^{4}

Apply exponent rule:

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

(3 a^{2} b)^{4} = 3^{4} (a^{2})^{4} b^{4}

= 3^{4} (a^{2})^{4} b^{4}

3^{4} = 81

= 81 (a^{2})^{4} b^{4}

Simplify

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

= 81 a^{8} b^{4}

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Frequently Asked Questions (FAQ)

What is (-3a^2b)^4 ?
The solution to (-3a^2b)^4 is 81a^8b^4