What makes the statement true? 7^-2=
A. 49
B. 1/49***
C. 14
D. 1/14
To find out which option makes the statement 7^-2 true, we need to understand exponentiation and apply the rules of exponents.
In the expression 7^-2, the base is 7 and the exponent is -2. The negative exponent indicates that we need to find the reciprocal of the base raised to the positive exponent.
The rule for negative exponents states that for any non-zero number a, a^-n is equal to 1/a^n.
Applying this rule to 7^-2, we rewrite it as 1/7^2.
Now, we can evaluate 7^2, which is equal to 49.
So, the correct option that makes the statement true is B. 1/49.