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Popular >

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

Solution

simplify

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

Solution

6 a^{7} b^{4}

Solution steps

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

Apply exponent rule:

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

a^{4} a^{3} = a^{4 + 3}

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

Add the numbers:

4 + 3 = 7

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

Apply exponent rule:

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

b^{3} b = b^{3 + 1}

= 3 \cdot 2 a^{7} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= 3 \cdot 2 a^{7} b^{4}

Multiply the numbers:

3 \cdot 2 = 6

= 6 a^{7} b^{4}

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Frequently Asked Questions (FAQ)

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