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

Answer 1

To apply the Property of Negative Integer Exponents, we can rewrite the expression with positive exponents by moving the negative exponents to the opposite position in the fraction.

We have:

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

Using the Property of Negative Integer Exponents, we can rewrite this expression as:

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

Next, we can simplify the expression by multiplying the numerator and denominator by the reciprocal of the denominator:

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

Now, we can simplify further by multiplying the numerators and denominators together:

(8^14) / (3^17)

Therefore, the expression with positive exponents only is:

8^14 / 3^17