Find the value of y in 9^y = 3^5 * 9^6 / 27^3. Please explain the steps which you took in order to answer this question.

y = 4.

Step-by-step explanation:

We can do this by changing all the base numbers to 3.

Note that 9 = 3^2 and 27 = 3^3.

So the equation becomes:

(3^2)^y = 3^5 * (3^2)^6 / (3^3)^3

By the law of indices:

3^2y = 3^5 * 3^12 / 3^9

3^2y = 3^17/ 3^9

3^2y = 3^8

So since the base is 3 in both terms

2y = 8

y = 4.

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

step-by-step explanation:

step-by-step explanation:

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