Question

2 to the power of 5 times 2 to the power of -2

Answer 1

To simplify this expression, we can use the rule that states "a to the power of b multiplied by a to the power of c is equal to a to the power of (b + c)."

So, 2 to the power of 5 multiplied by 2 to the power of -2 can be simplified as:

2^(5+(-2))

Now, we can simplify the exponent inside the parentheses:

= 2^(5-2)
= 2^3

Thus, 2 to the power of 5 times 2 to the power of -2 can be simplified as 2 to the power of 3, which equals 8.