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

$\frac{x^{-9}}{x^{-8}}$

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

$\frac{a^b}{a^c}=a^{b-c}$

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.

$x^{-1}=\frac{1}{x}$

Therefore, the final answer is 1/x.