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Popular >

simplify (24a^3b^2)(2ab^2)

Solution

simplify

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

Solution

48 a^{4} b^{4}

Solution steps

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

Apply exponent rule:

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

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

= 24 b^{2} \cdot 2 a^{3 + 1} b^{2}

Add the numbers:

3 + 1 = 4

= 24 b^{2} \cdot 2 a^{4} b^{2}

Apply exponent rule:

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

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

= 24 \cdot 2 a^{4} b^{2 + 2}

Add the numbers:

2 + 2 = 4

= 24 \cdot 2 a^{4} b^{4}

Multiply the numbers:

24 \cdot 2 = 48

= 48 a^{4} b^{4}

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Frequently Asked Questions (FAQ)

What is (24a^3b^2)(2ab^2) ?
The solution to (24a^3b^2)(2ab^2) is 48a^4b^4