Question

Symify 9 to the 2 power / 9 to the 7 power

Answer 1

9514 1404 393

Answer:

1/9^5

Explanation:

`(9^2)/(9^7)=(9\cdot 9)/(9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9\cdot 9)=(1)/(9\cdot 9\cdot 9\cdot 9\cdot 9)=\boxed{(1)/(9^5)}`

_____

An exponent is an indicator of repeated multiplication. As you can see, factors in the numerator cancel those in the denominator, so the result is the difference of the exponents.