Apply the property of negative integer exponents to generate an expression equivalent to 3^-17/8^-14 with positive exponents only.

Question

A. 8^14/3^17 b. 3^17/8^14

Answer 1

To apply the property of negative integer exponents and generate an expression equivalent to 3^-17/8^-14 with positive exponents only, we can use the fact that any number raised to a negative exponent can be flipped and raised to the positive exponent.

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

Now, we need to simplify this expression by multiplying the numerator and denominator by the reciprocal of 1/8^14, which is 8^14.

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

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

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

Therefore, the expression equivalent to 3^-17/8^-14 with positive exponents only is A. 8^14/3^17.