Question

Find the value of k in 7^5 *7^6 = 7^3 * 7^k

Answer 1

k = 8

Explanation:

`7^(5) * 7^(6) = 7^(3) * 7^(k)\\7^(5 + 6) = 7^(3 + k)`

If you have 7 to the power (a + b) equals 7 to the power (x + y), then (a + b) and (x + y) have to equal each other, because the base (7) is the same on both sides of the equation.

5 + 6 = 3 + k

11 = 3 + k

11 - 3 = 3 - 3 + k

8 = k