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 with positive exponents only by taking the reciprocal of the base and changing the sign of the exponent.

The expression is: 3^(-17) / 8^(-14)

To convert the negative exponents to positive exponents, we can take the reciprocal of the bases and change the sign of the exponent.

Reciprocal of 3: 1/3
Reciprocal of 8: 1/8

Changing the sign of the exponent for 3 and 8, we get:
(1/3)^17 / (1/8)^14

Simplifying further, we can multiply the reciprocals of the bases to the power of the exponent:
(1/3)^17 * 8^14

Hence, the expression after applying the property of negative integer exponents is (1/3)^17 * 8^14.