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Popular >

simplify 7u^2v^5(9uv^3)

Solution

simplify

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

Solution

63 u^{3} v^{8}

Solution steps

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

Apply exponent rule:

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

u^{2} u = u^{2 + 1}

= 7 v^{5} \cdot 9 u^{2 + 1} v^{3}

Add the numbers:

2 + 1 = 3

= 7 v^{5} \cdot 9 u^{3} v^{3}

Apply exponent rule:

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

v^{5} v^{3} = v^{5 + 3}

= 7 \cdot 9 u^{3} v^{5 + 3}

Add the numbers:

5 + 3 = 8

= 7 \cdot 9 u^{3} v^{8}

Multiply the numbers:

7 \cdot 9 = 63

= 63 u^{3} v^{8}

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Frequently Asked Questions (FAQ)

What is 7u^2v^5(9uv^3) ?
The solution to 7u^2v^5(9uv^3) is 63u^3v^8