What makes the statement true? 8^-2=?

A. 64
B. 16
C. -1/64
D. 1/64

Please help

8^-2 = 1/8^2 = 1/64

Thanks steve😁

To determine the value of 8^(-2), we need to understand the concept of a negative exponent.

In general, when a number is raised to a negative exponent, it is equivalent to taking the reciprocal of the number raised to the positive exponent.

So, in this case, 8^(-2) is equal to 1 / 8^2.

Now, we can evaluate 8^2, which is equal to 8 multiplied by itself, or 8 x 8 = 64.

Finally, we can calculate 1 / 64, which is equal to 0.015625.

Therefore, the correct answer is option D: 1/64.

To find the value of 8 raised to the power of -2 (8^-2), you need to apply the rule of exponents which states that any number raised to a negative power is equal to the reciprocal of that number raised to the positive power.

In this case, 8^-2 is equal to 1 divided by 8^2.

To calculate 8^2, also known as "8 squared", you simply multiply 8 by itself: 8^2 = 8 * 8 = 64.

So, 8^-2 is equal to 1/64 because 1 divided by 64 is 1/64.

Therefore, the correct answer is (D) 1/64.