Question

Which of the following would be equivalent to 92 ⋅ 96?

9 to the 8th power over 9 to the 7th power
92 ⋅ 97
9 to the 10th power over 9 to the 2nd power
90

Answer 1

it will be 9 to the power of 10 over 9 to the power of 2

Answer 2

Do you mean 9^2 ⋅ 9^6 ???

If so

9^2 ⋅ 9^6 = 9^(2+6) = 9^8

Also

9^10 / 9^2 = 9^(10 - 2) = 9^8

Answer:

9 to the 10th power over 9 to the 2nd power would be equivalent to 9^2 ⋅ 9^6