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Popular >

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

Solution

simplify

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

Solution

10 a^{3} b^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

bb = b^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Multiply the numbers:

2 \cdot 5 = 10

= 10 a^{3} b^{2}

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Frequently Asked Questions (FAQ)

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