Question

Find the missing exponent
a)25
b)5
c)20

Answer 1

`(x^(15))/(x^(?)) = x^(10)`

When two exponents that have the same base are divided, it's the same as subtracting their exponents. For example, you can rewrite the equation like this:

`x^(15-?) = x^(10)`

Then, you can rewrite the x^10 as x^(15-5):

`x^(15-?) = x^(15-5)`

Therefore, the ? must be equal to 5 (b).

`? = 5`