what makes the statement true 8^-2
64
16
-1/64
1/64
The statement 8^-2 is equal to 1/64. This is because when a number is raised to a negative exponent, it is actually equivalent to taking the reciprocal of the number and raising it to the positive exponent. In this case, 8^-2 is equivalent to 1/(8^2), which simplifies to 1/64.
The statement 8^-2 can be solved by applying the rule of exponents, specifically the negative exponent rule. The negative exponent rule states that any nonzero number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent.
In this case, 8^-2 can be rewritten as 1/8^2. Evaluating this expression, we find that 8^2 equals 64. Therefore, 8^-2 is equivalent to 1/64. Hence, the correct answer is the option 1/64.