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Popular >

simplify (2a^5b^3)(3a^3b)

Solution

simplify

(2 a^{5} b^{3}) (3 a^{3} b)

Solution

6 a^{8} b^{4}

Solution steps

(2 a^{5} b^{3}) (3 a^{3} b)

Apply exponent rule:

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

a^{5} a^{3} = a^{5 + 3}

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

Add the numbers:

5 + 3 = 8

= 2 b^{3} \cdot 3 a^{8} b

Apply exponent rule:

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

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

= 2 \cdot 3 a^{8} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= 2 \cdot 3 a^{8} b^{4}

Multiply the numbers:

2 \cdot 3 = 6

= 6 a^{8} b^{4}

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Frequently Asked Questions (FAQ)

What is (2a^5b^3)(3a^3b) ?
The solution to (2a^5b^3)(3a^3b) is 6a^8b^4