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Popular >

simplify (2a^4b^3)(4a^5b^2)

Solution

simplify

(2 a^{4} b^{3}) (4 a^{5} b^{2})

Solution

8 a^{9} b^{5}

Solution steps

(2 a^{4} b^{3}) (4 a^{5} b^{2})

Apply exponent rule:

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

a^{4} a^{5} = a^{4 + 5}

= 2 b^{3} \cdot 4 a^{4 + 5} b^{2}

Add the numbers:

4 + 5 = 9

= 2 b^{3} \cdot 4 a^{9} b^{2}

Apply exponent rule:

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

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

= 2 \cdot 4 a^{9} b^{3 + 2}

Add the numbers:

3 + 2 = 5

= 2 \cdot 4 a^{9} b^{5}

Multiply the numbers:

2 \cdot 4 = 8

= 8 a^{9} b^{5}

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Frequently Asked Questions (FAQ)

What is (2a^4b^3)(4a^5b^2) ?
The solution to (2a^4b^3)(4a^5b^2) is 8a^9b^5