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Popular >

simplify 8ab^2(3a^2b^2)

Solution

simplify

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

Solution

24 a^{3} b^{4}

Solution steps

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

Apply exponent rule:

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

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

= 8 b^{2} \cdot 3 a^{1 + 2} b^{2}

Add the numbers:

1 + 2 = 3

= 8 b^{2} \cdot 3 a^{3} b^{2}

Apply exponent rule:

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

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

= 8 \cdot 3 a^{3} b^{2 + 2}

Add the numbers:

2 + 2 = 4

= 8 \cdot 3 a^{3} b^{4}

Multiply the numbers:

8 \cdot 3 = 24

= 24 a^{3} b^{4}

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Frequently Asked Questions (FAQ)

What is 8ab^2(3a^2b^2) ?
The solution to 8ab^2(3a^2b^2) is 24a^3b^4