Replace the with <, >, or = to make a true statement.
7^4/7^2_____49
A) <
B) >
C) =
D) none of the above
C) =
To determine which symbol makes the statement true, let's simplify both sides of the equation.
On the left side of the equation, we have 7^4 / 7^2.
Using the properties of exponents, we can rewrite this as follows:
7^4 / 7^2 = 7^(4-2) = 7^2 = 49.
Therefore, the simplified left side of the equation is equal to 49.
Now, let's compare this to the right side of the equation, which is 49.
Since both sides of the equation are equal to 49, the correct symbol to make the statement true is:
C) =