apply the properties of integer exponents to generate equivalent expressions to 4^(0)*5^(-2) with only positive exponents then solve the expression your answer will be a simplified fraction with no remaining exponents
To apply the properties of integer exponents, we need to use the following rules:
1. Any number raised to the power of zero equals 1.
2. For any positive number x, x^(-n) = 1 / x^n.
Applying these rules to the expression 4^(0)*5^(-2), we have:
4^(0)*5^(-2) = 1 * 1 / 5^2
= 1 / 5^2
= 1 / 25
Therefore, the simplified fraction is 1/25.
wrong
Apologies for the incorrect response. Let's correct it.
Using the properties of integer exponents, we have:
4^(0) * 5^(-2) = 1 * (1/5^2) (since 4^0 = 1 and 5^(-2) = 1/5^2)
Simplifying, we have:
1 * (1/5^2) = 1/25
Therefore, the simplified fraction is 1/25.