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Popular >

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

Solution

simplify

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

Solution

8 a^{3} b^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

b b^{2} = b^{1 + 2}

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

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

2 \cdot 4 = 8

= 8 a^{3} b^{3}

Popular Examples

3 < x - 3 < 7

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152

factor 9y^2+12y+4 factor

9 y^{2} + 12 y + 4

∣ 2 x + 1 ∣ > 2

simplify (4+sqrt(12))/2 simplify

\frac{4 + 12}{2}

Frequently Asked Questions (FAQ)

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