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Popular >

simplify (3a^3b^3)(4ab^2)

Solution

simplify

(3 a^{3} b^{3}) (4 a b^{2})

Solution

12 a^{4} b^{5}

Solution steps

(3 a^{3} b^{3}) (4 a b^{2})

Apply exponent rule:

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

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

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

Add the numbers:

3 + 1 = 4

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

Apply exponent rule:

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

b^{3} b^{2} = b^{3 + 2}

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

Add the numbers:

3 + 2 = 5

= 3 \cdot 4 a^{4} b^{5}

Multiply the numbers:

3 \cdot 4 = 12

= 12 a^{4} b^{5}

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Frequently Asked Questions (FAQ)

What is (3a^3b^3)(4ab^2) ?
The solution to (3a^3b^3)(4ab^2) is 12a^4b^5