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Popular >

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

Solution

simplify

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

Solution

12 a^{3} b^{7}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

b^{3} b^{4} = b^{3 + 4}

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

Add the numbers:

3 + 4 = 7

= 4 \cdot 3 a^{3} b^{7}

Multiply the numbers:

4 \cdot 3 = 12

= 12 a^{3} b^{7}

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Frequently Asked Questions (FAQ)

What is (4a^2b^3)(3ab^4) ?
The solution to (4a^2b^3)(3ab^4) is 12a^3b^7