Question

Apply the Property of Negative Integer Exponents to generate an expression equivalent with positive
exponents only.
3^-17/8^-14

Answer 1

To apply the Property of Negative Integer Exponents, we can use the following rule:

a^(-n) = 1/a^n

So, let's apply this rule to the given expression:

3^(-17)/8^(-14)

Using the rule, we can rewrite this as:

(1/3^17)/(1/8^14)

Now, let's simplify this expression further. Dividing by a fraction is the same as multiplying by its reciprocal:

(1/3^17) * (8^14/1)

This can be simplified as follows:

8^14/3^17

Now, we have the expression with only positive exponents.