Question

Simplify (3 ^ 5 * 3 ^ 6)/(3 ^ 4) using laws of exponents.​

Answer 1

Step-by-step explanation:

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(3^5*3^6)/3^4 = (3^11)/(3^4) = 3^7

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Answer 2

correct option is A 5^5

$= \frac{ {3}^{ - 5} \times {10}^{ - 5} \times 125 }{ {5}^{ - 7} \times {6}^{ - 5} }$

$= \frac{ {3}^{ - 5} \times {(2 \times 5)}^{ - 5} \times {5}^{3} }{ {5}^{ - 7} \times {(2 \times 3)}^{ - 5} }$

$= \frac{ {3}^{ - 5} \times {2}^{ - 5} \times {5}^{ - 5 } \times {5}^{3} }{ {5}^{ - 7} \times {2}^{ - 5} \times {3}^{ - 5} }$

$= {3}^{ - 5 + 5} \times {2}^{ - 5 + 5} \times {5}^{ - 5 + 3 + 7}$

$= {5}^{5}$

$= 3125$

answer is 3125