Simplify and express each of the following in exponential form:
`2^(0)+3^(0)+4^0`

Answer

To simplify and express the expression \(2^{0} + 3^{0} + 4^{0}\) in exponential form, we can follow these steps:

### Step 1: Understand the property of exponents
According to the property of exponents, any non-zero number raised to the power of 0 is equal to 1. This means:
\[ a^{0} = 1 \quad \text{for any } a \neq 0 \]

### Step 2: Apply the property to each term
Now we will apply this property to each term in the expression:
- For \(2^{0}\):
\[ 2^{0} = 1 \]
- For \(3^{0}\):
\[ 3^{0} = 1 \]
- For \(4^{0}\):
\[ 4^{0} = 1 \]

### Step 3: Add the results
Now we can add the results of each term:
\[ 2^{0} + 3^{0} + 4^{0} = 1 + 1 + 1 \]
\[ = 3 \]

### Step 4: Express the result in exponential form
The final result is 3, which can be expressed in exponential form as:
\[ 3 = 3^{1} \]

### Final Answer
Thus, the simplified expression \(2^{0} + 3^{0} + 4^{0}\) in exponential form is:
\[ 3^{1} \]

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