Question

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

Answer 1

To apply the Property of Negative Integer Exponents, we can rewrite the expression by moving the negative exponents to the denominator and changing their signs.

Therefore, 3^-17/8^14 can be expressed as 1/(3^17 * 8^-14).

Next, we need to eliminate the negative exponent term. We can do this by using the Property of Negative Exponents, which states that any term with a negative exponent can be flipped and the exponent changed to a positive value.

Therefore, 8^-14 can be rewritten as 1/8^14.

Now, we have the expression: 1/(3^17 * 1/8^14).

To simplify this expression further, we can bring the denominator term to the numerator by flipping it and changing the sign of the exponent:

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

= 8^14 / 3^17

Now, we have transformed the original expression 3^-17/8^14 to an equivalent expression with positive exponents only: 8^14 / 3^17.