Simplify the expression using the quotient rule of exponents 5/5. With a small on the top five and a small three on the bottom five with the answer be with the small one on top or five with a small 18 at the top or five with a small three at the top or five with the small nine at the top, which is correct
To simplify the expression 5/5 using the quotient rule of exponents, we need to subtract the exponents.
In this case, we have 5 raised to the power of 1 (small 1 on top) divided by 5 raised to the power of 3 (small 3 on top).
Thus, we can apply the quotient rule of exponents which states that when dividing two numbers with the same base, we subtract the exponents:
a^m / a^n = a^(m-n)
In our case, 5^1 / 5^3 = 5^(1-3) = 5^(-2).
Therefore, the correct simplification is 5 with a small 2 on the bottom (5 with a small nine at the top).