Question

Select all of the expressions equivalent to ((2.5)⁻³)/((2.5)ᵒ)

Answer 1

The expressions equivalent to ((2.5)⁻³)/((2.5)ᵒ) are 2.5^-4 or 1/(2.5^4).

Step-by-step explanation:

To find the expressions equivalent to ((2.5)⁻³)/((2.5)ᵒ), we need to simplify the exponents and perform the division.

Using the property of exponents, we know that (aⁿ)/(aᵐ) = a^(n-m).

So, ((2.5)⁻³)/((2.5)ᵒ) = 2.5^(-3-1) = 2.5^-4.

Therefore, the equivalent expressions are 2.5^-4 or 1/(2.5^4).