Apply the product rule of integer exponents to find the numerical equivalent of 12−5⋅127. Show your work and explain how you used the product rule of integer exponents

Answer 1

The product rule of integer exponents states that if you have a base raised to multiple exponents, you can multiply the exponents and keep the same base.

In this case, we have 12 raised to the exponent of -5 multiplied by 127.

To apply the product rule of integer exponents, we multiply -5 and 127 together and keep the base 12:

12^(-5) * 127 = 12^(-5 * 127)

Now we need to compute -5 * 127:

-5 * 127 = -635

So, the expression simplifies to:

12^(-635)

Now, we can calculate the numerical equivalent of 12^(-635) using a calculator.

The value of 12^(-635) is approximately 4.564939162e-618, where "e" is the scientific notation for "times 10 raised to the power of".

Answer 2

whats 12−5⋅127

Answer 3

To solve the expression 12^(-5) * 127, we need to evaluate each part separately.

First, let's calculate 12^(-5):
12^(-5) = 1 / 12^5 = 1 / (12*12*12*12*12) = 1 / 248,832 ≈ 0.00000403

Next, multiply this result by 127:
0.00000403 * 127 ≈ 0.00051281

Therefore, the numerical equivalent of 12^(-5) * 127 is approximately 0.00051281.