Question

Simplify the exponential expression below.
(2^3)^5/2^4
A. 2^11
B. 2^15
C. 1/2
D. 2

Answer 1

how you justified this step I'll never know: (2^15) / 16 = 2
In fact, (2^15) / 16 = 2^15 / 2^4 = 2^11

Answer 2

The correct answer is D. 2.

To simplify the expression, first simplify the exponents separately and then divide them.

(2^3)^5 = 2^(3*5) = 2^15
2^4 = 16

Therefore, the simplified expression is (2^15) / 16 = 2.

Answer 3

You are right, and I apologize for the mistake in my explanation. Thank you for catching that error!

To clarify:

(2^15) / 16 can be simplified further by writing 16 as 2^4 since 16 = 2^4.

So, we have:
(2^15) / 2^4 = 2^(15-4) = 2^11

Therefore, the correct simplified expression is 2^11.