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Popular >

simplify (4ab^3)(5a^2b^2)

Solution

simplify

(4 a b^{3}) (5 a^{2} b^{2})

Solution

20 a^{3} b^{5}

Solution steps

(4 a b^{3}) (5 a^{2} b^{2})

Apply exponent rule:

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

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

= 4 b^{3} \cdot 5 a^{1 + 2} b^{2}

Add the numbers:

1 + 2 = 3

= 4 b^{3} \cdot 5 a^{3} b^{2}

Apply exponent rule:

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

b^{3} b^{2} = b^{3 + 2}

= 4 \cdot 5 a^{3} b^{3 + 2}

Add the numbers:

3 + 2 = 5

= 4 \cdot 5 a^{3} b^{5}

Multiply the numbers:

4 \cdot 5 = 20

= 20 a^{3} b^{5}

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Frequently Asked Questions (FAQ)

What is (4ab^3)(5a^2b^2) ?
The solution to (4ab^3)(5a^2b^2) is 20a^3b^5