Find the value of 2 to the power zero + 7 to the power 0 / 5 to the power 0
The correct answer and explanation is:
The given expression is: 20+70502^0 + \frac{7^0}{5^0}
Step 1: Simplify Each Term
- 2^0: Any non-zero number raised to the power of 0 is always 1. Therefore:
20=12^0 = 1
- 7^0: Similarly, 7 raised to the power of 0 is 1. Thus:
70=17^0 = 1
- 5^0: Again, 5 raised to the power of 0 is 1. Hence:
50=15^0 = 1
Step 2: Substitute Values into the Expression
Now substitute the values we found into the original expression: 1+111 + \frac{1}{1}
Step 3: Simplify
- 11=1\frac{1}{1} = 1
So, the expression simplifies to: 1+1=21 + 1 = 2
Final Answer:
The value of the expression is 2.
Explanation:
Exponents are a shorthand way of writing repeated multiplication. Any number (except zero) raised to the power of 0 is defined as 1. This is known as the zero exponent rule. When dealing with the fraction part, both the numerator and denominator are raised to the power of 0, which results in 1. This simplifies the fraction to 1. Adding the 1 from 202^0 and the 1 from the fraction gives a final result of 2. This is a basic property of exponents that helps simplify expressions quickly.