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Popular >

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

Solution

simplify

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

Solution

6 a^{5} b^{7}

Solution steps

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

Apply exponent rule:

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

a^{4} a = a^{4 + 1}

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

Add the numbers:

4 + 1 = 5

= 3 b^{3} \cdot 2 a^{5} b^{4}

Apply exponent rule:

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

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

= 3 \cdot 2 a^{5} b^{3 + 4}

Add the numbers:

3 + 4 = 7

= 3 \cdot 2 a^{5} b^{7}

Multiply the numbers:

3 \cdot 2 = 6

= 6 a^{5} b^{7}

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Frequently Asked Questions (FAQ)

What is (3a^4b^3)(2ab^4) ?
The solution to (3a^4b^3)(2ab^4) is 6a^5b^7