The question that have is to simplify and write the answer in exponential notation using positive exponents 2 to 4th power x 2 -2


These are my choices

a 4 to the 8th power
b 2 to the 8th power
c 4 to the 2nd power
d 2 to the 2nd power

What is your problem?

2 to 4th power x 2 -2 ?

Is this your problem?
2^4 * 2^(-2)

If so,
2^4 = 16
2^(-2) = 1/(2^2) = 1/4

2^4 * 2^(-2) = 16 * 1/4 = 16/4 = 4

4 = 2^2

To simplify the expression 2 to the 4th power multiplied by 2 to the -2 power, we can use the rule of exponents that states:

a^m * a^n = a^(m+n)

In this case, we have 2^4 * 2^(-2). Using the rule of exponents, we can add the exponents together:

2^4 * 2^(-2) = 2^(4 + (-2))

Now, we can simplify the exponent:

2^(4 + (-2)) = 2^2

Therefore, the expression simplifies to 2^2.

In exponential notation with positive exponents, we write 2 to the 2nd power as 2^2.

So the answer to the question is d) 2 to the 2nd power.