Answer and Step-by-step explanation:
To simplify the expression 2^5/4, let's break it down step by step:
Step 1: Rewrite 2^5 as (2^5)/(2^4).
- This is because 2^5 can be expressed as 2^5/2^4 using the property of exponentiation, which states that a^m/a^n = a^(m-n).
Step 2: Simplify the expression (2^5)/(2^4).
- Since the base (2) is the same for both numerator and denominator, we subtract the exponents: 5 - 4 = 1.
- The simplified expression is now 2^1.
Step 3: Evaluate 2^1.
- Any number raised to the power of 1 is equal to the number itself.
- Therefore, 2^1 is equal to 2.
So, in conclusion:
- a = 2^5/4
- b = 2^5/2^4
- c = 2^1
a = 2^5/4
b = 2^5/2^4
c = 2^1
And the values for a, b, and c are all equal to 2.