Question

Is 0.24 equal to 0.42? Explain. Select the correct choice and fill in the answer boxes to complete your choice. (Type whole numbers or decimals.) O A. Yes. When both expressions are evaluated, 0.24 is equal to and 0.42 is equal to O B. No. When both expressions are evaluated, 0.24 is equal to and 0.42 is equal to

Answer 1

We are asked to decide if the expression 0.2^4 is the same as 0.4^2.

So, we are to perform the actual evaluations in order to answer:

Recall that based on the definition of exponents,

0.2^4 = 0.2 * 0.2 * 0.2 * 0.2 (that is the product of FOUR factors 0.2 such product renders: 0.0016

Now, we are going to evaluate 0.4^2, which from the definition of power/exponent is:

0.4^2 = 0.4 * 0.4 as we evaluete this product, we get: 0.16

Therefore, the expressions are NOT equal. One is much smaller than the other one:

0.0016 versus 0.16

So please select the second option and complete the values appropriately.

Happy to help! Have a great rest of the day!