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Popular >

simplify (4u^6v)(9u^2v^5)

Solution

simplify

(4 u^{6} v) (9 u^{2} v^{5})

Solution

36 u^{8} v^{6}

Solution steps

(4 u^{6} v) (9 u^{2} v^{5})

Apply exponent rule:

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

u^{6} u^{2} = u^{6 + 2}

= 4 v \cdot 9 u^{6 + 2} v^{5}

Add the numbers:

6 + 2 = 8

= 4 v \cdot 9 u^{8} v^{5}

Apply exponent rule:

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

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

= 4 \cdot 9 u^{8} v^{1 + 5}

Add the numbers:

1 + 5 = 6

= 4 \cdot 9 u^{8} v^{6}

Multiply the numbers:

4 \cdot 9 = 36

= 36 u^{8} v^{6}

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Frequently Asked Questions (FAQ)

What is (4u^6v)(9u^2v^5) ?
The solution to (4u^6v)(9u^2v^5) is 36u^8v^6