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Popular >

simplify (5a^2b^3)(6a^2b)

Solution

simplify

(5 a^{2} b^{3}) (6 a^{2} b)

Solution

30 a^{4} b^{4}

Solution steps

(5 a^{2} b^{3}) (6 a^{2} b)

Apply exponent rule:

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

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

= 5 b^{3} \cdot 6 a^{2 + 2} b

Add the numbers:

2 + 2 = 4

= 5 b^{3} \cdot 6 a^{4} b

Apply exponent rule:

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

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

= 5 \cdot 6 a^{4} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= 5 \cdot 6 a^{4} b^{4}

Multiply the numbers:

5 \cdot 6 = 30

= 30 a^{4} b^{4}

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Frequently Asked Questions (FAQ)

What is (5a^2b^3)(6a^2b) ?
The solution to (5a^2b^3)(6a^2b) is 30a^4b^4