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Popular >

simplify (8a^2b)(4ab^3)

Solution

simplify

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

Solution

32 a^{3} b^{4}

Solution steps

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

Apply exponent rule:

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

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

= 8 b \cdot 4 a^{2 + 1} b^{3}

Add the numbers:

2 + 1 = 3

= 8 b \cdot 4 a^{3} b^{3}

Apply exponent rule:

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

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

= 8 \cdot 4 a^{3} b^{1 + 3}

Add the numbers:

1 + 3 = 4

= 8 \cdot 4 a^{3} b^{4}

Multiply the numbers:

8 \cdot 4 = 32

= 32 a^{3} b^{4}

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Frequently Asked Questions (FAQ)

What is (8a^2b)(4ab^3) ?
The solution to (8a^2b)(4ab^3) is 32a^3b^4