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Popular >

simplify (3u^2v^5)(9u^4v)

Solution

simplify

(3 u^{2} v^{5}) (9 u^{4} v)

Solution

27 u^{6} v^{6}

Solution steps

(3 u^{2} v^{5}) (9 u^{4} v)

Apply exponent rule:

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

u^{2} u^{4} = u^{2 + 4}

= 3 v^{5} \cdot 9 u^{2 + 4} v

Add the numbers:

2 + 4 = 6

= 3 v^{5} \cdot 9 u^{6} v

Apply exponent rule:

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

v^{5} v = v^{5 + 1}

= 3 \cdot 9 u^{6} v^{5 + 1}

Add the numbers:

5 + 1 = 6

= 3 \cdot 9 u^{6} v^{6}

Multiply the numbers:

3 \cdot 9 = 27

= 27 u^{6} v^{6}

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Frequently Asked Questions (FAQ)

What is (3u^2v^5)(9u^4v) ?
The solution to (3u^2v^5)(9u^4v) is 27u^6v^6