Final answer:
To simplify the expression g^-5 / g^-8 with positive exponents, divide the numbers out front and subtract the exponents. In this case, we have g raised to negative powers. Using the rule for division of exponentials, divide the digit term of the numerator by the digit term of the denominator and subtract the exponents. So, g^-5 / g^-8 = g^(-5 - (-8)) = g^3. Therefore, the simplified expression is g^3.
Step-by-step explanation:
To simplify the expression g⁻⁵ / g⁻⁸ with positive exponents, we need to divide the numbers out front and subtract the exponents. In this case, we have g raised to negative powers.
Using the rule for division of exponentials, we divide the digit term of the numerator by the digit term of the denominator and subtract the exponents. So, g⁻⁵ / g⁻⁸ = g⁻⁵⁻⁻⁸ = g³.
Therefore, the simplified expression is g³.