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Popular >

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

Solution

simplify

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

Solution

15 a^{3} b^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

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

Multiply the numbers:

3 \cdot 5 = 15

= 15 a^{3} b^{4}

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Frequently Asked Questions (FAQ)

What is (3a^2b)(5ab^3) ?
The solution to (3a^2b)(5ab^3) is 15a^3b^4