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Popular >

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

Solution

simplify

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

Solution

10 a^{4} b^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 1 = 4

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

Apply exponent rule:

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

bb = b^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Multiply the numbers:

5 \cdot 2 = 10

= 10 a^{4} b^{2}

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Frequently Asked Questions (FAQ)

What is (5a^3b)(2ab) ?
The solution to (5a^3b)(2ab) is 10a^4b^2