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Popular >

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

Solution

simplify

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

Solution

6 a^{7} b^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 4 = 7

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

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

Multiply the numbers:

2 \cdot 3 = 6

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

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Frequently Asked Questions (FAQ)

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