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

Answer 1

To eliminate the negative exponents and rewrite the expression with positive exponents only, we can apply the property of negative integer exponents, which states that any term raised to a negative exponent can be written as the reciprocal of the term raised to the positive exponent.

Using this property, we can rewrite the given expression 3^(-17) / 8^(-14) as:

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

Now, to divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction:

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

Next, we simplify the expression by multiplying the numerators and the denominators:

(8^14) / (3^17)

Thus, the expression 3^(-17) / 8^(-14) with positive exponents only is 8^14 / 3^17.