Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^−17/8^−14 with positive exponents only.(1 point)

Question

3^−17/8^−14=

Answer 1

To apply the Property of Negative Integer Exponents, we need to move the negative exponents to the denominator and change their signs to make them positive.

So, 3^(-17) becomes 1/3^17 and 8^(-14) becomes 1/8^14.

Therefore, 3^(-17)/8^(-14) = (1/3^17)/(1/8^14).

Now, when we divide by a fraction, we can multiply by its reciprocal. So, we can convert the division into multiplication by taking the reciprocal of the denominator.

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

Simplifying further,

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

Therefore, 3^(-17)/8^(-14) is equivalent to 8^14/3^17.