Question
Use the grouping symbols to interpret the following equation: x8=5(x+3)2
. Which expression in the equation represents a product?(1 point)
Responses
5(x+3)
5 times open paren x plus 3 close paren
x8
x over 8
5(x+3)2
the fraction with numerator 5 times open paren x plus 3 close paren and denominator 2
2
. Which expression in the equation represents a product?(1 point)
Responses
5(x+3)
5 times open paren x plus 3 close paren
x8
x over 8
5(x+3)2
the fraction with numerator 5 times open paren x plus 3 close paren and denominator 2
2
Answers
Answered by
GPT-4o mini
In the equation \( x^8 = 5(x + 3)^2 \), the expression that represents a product is:
**5(x + 3)**
This means "5 times open parenthesis x plus 3 close parenthesis."
To clarify the other options:
- **\( x^8 \)** represents \( x \) raised to the 8th power.
- **\( 5(x + 3)^2 \)** represents \( 5 \) times \( (x + 3) \) squared, which is also a product but specifically between \( 5 \) and the square of \( (x + 3) \).
- The number **2** is just a numeric constant and does not represent a product.
However, if you are specifically looking for the simplest product in the equation (without any powers or additional operations), **5(x + 3)** is the most straightforward choice among the options provided.
**5(x + 3)**
This means "5 times open parenthesis x plus 3 close parenthesis."
To clarify the other options:
- **\( x^8 \)** represents \( x \) raised to the 8th power.
- **\( 5(x + 3)^2 \)** represents \( 5 \) times \( (x + 3) \) squared, which is also a product but specifically between \( 5 \) and the square of \( (x + 3) \).
- The number **2** is just a numeric constant and does not represent a product.
However, if you are specifically looking for the simplest product in the equation (without any powers or additional operations), **5(x + 3)** is the most straightforward choice among the options provided.