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Popular >

simplify (u^9v^7)(u^6v^7)

Solution

simplify

(u^{9} v^{7}) (u^{6} v^{7})

Solution

u^{15} v^{14}

Solution steps

(u^{9} v^{7}) (u^{6} v^{7})

Apply exponent rule:

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

u^{9} u^{6} = u^{9 + 6}

= v^{7} u^{9 + 6} v^{7}

Add the numbers:

9 + 6 = 15

= v^{7} u^{15} v^{7}

Apply exponent rule:

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

v^{7} v^{7} = v^{7 + 7}

= u^{15} v^{7 + 7}

Add the numbers:

7 + 7 = 14

= u^{15} v^{14}

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Frequently Asked Questions (FAQ)

What is (u^9v^7)(u^6v^7) ?
The solution to (u^9v^7)(u^6v^7) is u^{15}v^{14}