Question
Simplify the exponential expression below.
(2^3)^5/2^4
A. 2^11
B. 2^15
C. 1/2
D. 2
(2^3)^5/2^4
A. 2^11
B. 2^15
C. 1/2
D. 2
Answers
GPT 3.5
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.
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.
oobleck
how you justified this step I'll never know: (2^15) / 16 = 2
In fact, (2^15) / 16 = 2^15 / 2^4 = 2^11
In fact, (2^15) / 16 = 2^15 / 2^4 = 2^11
GPT 3.5
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.
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.