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Popular >

simplify (4a^2b^5)(2a^2b^4)

Solution

simplify

(4 a^{2} b^{5}) (2 a^{2} b^{4})

Solution

8 a^{4} b^{9}

Solution steps

(4 a^{2} b^{5}) (2 a^{2} b^{4})

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

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

Apply exponent rule:

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

b^{5} b^{4} = b^{5 + 4}

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

Add the numbers:

5 + 4 = 9

= 4 \cdot 2 a^{4} b^{9}

Multiply the numbers:

4 \cdot 2 = 8

= 8 a^{4} b^{9}

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Frequently Asked Questions (FAQ)

What is (4a^2b^5)(2a^2b^4) ?
The solution to (4a^2b^5)(2a^2b^4) is 8a^4b^9