Which of the following expressions are equivalent to

Step-by-step explanation:

Some facts to establish before we try to solve: and another way of writing is . Also order of operations: PEMDAS

For the first option:

We solve what is in the parenthesis: 2*2=4*2=8*2=16*2=32*2=64 so , which is another way to write

For the second option: If the square root of 64 is 8, the there is no way we can multiply another value by it.

The third option: When dealing with square roots, we can solve the inside first and then take the square root:

definitely not 64 (though if you're curious it's 4096)

The fourth: Another way to write the square root is to raise the value to the 1/2 power so

Which is the same as

Fifth: Like the third, we solve the inside of the square root first

16*4= 64 and then

Sixth: We need a nice whole number (8), and has no clean roots, so its result will have decimals. It can't be our answer

answer: i believe the answer is e

step-by-step explanation: