Answer: 1/5^8
Explanation:
We can rewrite (5^-4)^2 using positive exponents by applying the rule for exponents, which states that when we raise a power to another power, we multiply the exponents:
(5^-4)^2 = 5^-8
To express this in positive exponents, we can use the fact that a negative exponent indicates the reciprocal of the base raised to the positive exponent. Therefore:
5^-8 = 1/5^8
So the expression (5^-4)^2 can be rewritten as 1/5^8 using positive exponents.