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Popular >

simplify (a^4b)(a^4b^2)

Solution

simplify

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

Solution

a^{8} b^{3}

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a^{4} a^{4} = a^{4 + 4}

= b a^{4 + 4} b^{2}

Add the numbers:

4 + 4 = 8

= b a^{8} b^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

b b^{2} = b^{1 + 2}

= a^{8} b^{1 + 2}

Add the numbers:

1 + 2 = 3

= a^{8} b^{3}

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Frequently Asked Questions (FAQ)

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