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Popular >

simplify (ab^3)(a^3b)

Solution

simplify

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

Solution

a^{4} b^{4}

Solution steps

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

Apply exponent rule:

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

a a^{3} = a^{1 + 3}

= b^{3} a^{1 + 3} b

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

b^{3} b = b^{3 + 1}

= a^{4} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= a^{4} b^{4}

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Frequently Asked Questions (FAQ)

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