Final answer:
To calculate 1/8 to the third power times two to the -3rd power, we need to calculate the values separately and then multiply them together. The final result is 1/4096.
Step-by-step explanation:
To simplify the expression, we first need to calculate each part separately.
1/8 to the third power means we need to multiply 1/8 by itself two more times.
This gives us (1/8)(1/8)(1/8) = 1/512.
Now, let's calculate two to the -3rd power. A negative exponent means we need to take the reciprocal of the base and change the sign of the exponent: 1/(2^3) = 1/8.
Finally, we multiply the results: (1/512) * (1/8) = 1/4096.
Learn more about Simplifying Exponents