1. consider $2^3$.
a. identify the base.
b. identify the exponent.
c. write in words how $2^3$ is read aloud.
d. explain how to evaluate $2^3$.

Question

1. consider $2^3$.
  a. identify the base.
  b. identify the exponent.
  c. write in words how $2^3$ is read aloud.
  d. explain how to evaluate $2^3$.

Accepted Answer

### Part a
# Explanation:
## Step1: Recall exponent notation
In the expression $a^n$, $a$ is the base and $n$ is the exponent.
## Step2: Identify base in $2^3$
For $2^3$, comparing with $a^n$, $a = 2$.
# Answer: 2

### Part b
# Explanation:
## Step1: Recall exponent notation
In $a^n$, $n$ is the exponent.
## Step2: Identify exponent in $2^3$
For $2^3$, $n = 3$.
# Answer: 3

### Part c
# Brief Explanations:
In exponential notation $a^n$, it is read as "a raised to the power of n". For $2^3$, we substitute $a = 2$ and $n=3$.
# Answer: two raised to the power of three (or two cubed)

### Part d
# Explanation:
## Step1: Recall exponent definition
$a^n$ means multiplying $a$ by itself $n$ times.
## Step2: Apply to $2^3$
For $2^3$, $a = 2$ and $n = 3$, so we calculate $2\times2\times2$.
## Step3: Compute the product
$2\times2 = 4$, then $4\times2=8$.
# Answer: To evaluate $2^3$, we use the definition of an exponent: $a^n$ means multiplying $a$ (here $a = 2$) by itself $n$ (here $n = 3$) times. So $2^3=2\times2\times2 = 8$.

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QUESTION IMAGE

Question

Explanation:

Part a

Step1: Recall exponent notation

Step2: Identify base in \(2^3\)

Step1: Recall exponent notation

Step2: Identify exponent in \(2^3\)

Answer:

Part b