Final answer:
To simplify the expression g⁻²/2⁻²⁴, we apply the rule that negative exponents represent the reciprocal of the base raised to the positive exponent. The simplified form, without a given value for g, cannot be numerically evaluated further without additional information.
Step-by-step explanation:
To simplify the variable expression g⁻²/2⁻²⁴, we must evaluate the numerical part of the expression. First, let's simplify the denominator. The expression 2⁻²⁴ can be evaluated as 2 raised to the power of negative 24, which equals 1 over 2 raised to the power of 24.
When we deal with negative exponents, we use the rule that x⁻¹ = 1/x. Thus, the expression g⁻² means 1 divided by (g squared), or 1/g². We can combine these simplified parts to rewrite the original expression as (1/g²) × (1/2²⁴).
However, without knowing the value of g, we cannot further simplify the numerical part. The final answer will be in terms of g, unless we are given a specific value for the variable.
To simplify the expression g⁻²/2⁻²⁴, we can evaluate the numerical part of the expression first. Both the numerator and denominator are written with negative exponents, so we can rewrite them as fractions with positive exponents:
g⁻²/2⁻²⁴ = 1/g² * 1/2²⁴
Now, we can simplify further by evaluating the numerical values:
1/g² * 1/2²⁴ = 1/(g² * 2²⁴)
This is the simplified form of the expression.