Question

simplifyx to the power of -9________________x to the power of -8writing ur answer with a positive exponent only

Answer 1

The given expression is

`(x^(-9))/(x^(-8))`

To solve this division, we use the following power rule.

`(a^b)/(a^c)=a^(b-c)`

In words, we just have to subtract exponents.

`x^(-9-(-8))=x^(-9+8)=x^(-1)`

Now, we use the negative exponent property which allows us to transform the exponent into a positive one.

`x^(-1)=(1)/(x)`

Therefore, the final answer is 1/x.