Which of the following is equivalent to 8^-3
A. 512
B. 1/512
C. 1/3⁸
D. 1/8^-3
To find the equivalent value of 8^-3, we can use the rule that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
So, 8^-3 is equivalent to 1/8^3.
Simplifying further, 8^3 is equal to 8 × 8 × 8 = 512.
Therefore, 1/8^3 is equal to 1/512.
Hence, the correct answer is B. 1/512.