Answered

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

Sagot :

Answer:

k = 8

Step-by-step explanation:

[tex]7^{5} * 7^{6} = 7^{3} * 7^{k}\\7^{5 + 6} = 7^{3 + k}[/tex]

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

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