Question

What is 1/8 to the third power times two to the -3rd power

Answer 1

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