Which expression is equivalent to 5^5x5^-5
By using the properties of exponents, we can simplify the expression 5^5 × 5^-5.
We know that when we multiply two numbers with the same base, we add their exponents. Thus, 5^5 × 5^-5 is equivalent to 5^(5 + (-5)).
The exponent 5 + (-5) is equal to 0 since any number raised to the power of 0 is equal to 1. Therefore, the expression simplifies to 5^0.
Since any value raised to the power of 0 is equal to 1, 5^0 is equal to 1.
Therefore, the expression 5^5 × 5^-5 is equivalent to 1.