Question

Place parentheses to make the expression equal to the number 6 in 8 - (3 - 1^3).

A) 8 - (3 - 1^3) = 6
B) 8 - (3 - 1^3) = 4
C) 8 - (3 - 1^3) = 2
D) 8 - (3 - 1^3) = 10

Answer 1

The original expression 8 - (3 - 1^3) already evaluates to 6 without any additional parentheses, making option A the correct answer.

Step-by-step explanation:

The problem here is to correctly place parentheses to make an arithmetic expression equal to a given number. Particularly, you asked to make the expression 8 - (3 - 1^3) equal to 6. Presently, without any additional parentheses, the expression evaluates as follows:

Since exponentiation takes precedence over subtraction:

• 1^3 = 1 (Any number raised to the power of 3 is the number itself multiplied three times, but since 1 multiplied by any number is itself, 1^3 remains 1.)
• 3 - 1 = 2 (Subtracting the result from the previous step from 3.)
• 8 - 2 = 6 (Subtracting 2 from 8 gives us 6, which is the desired result.)

Therefore, the original expression without adding any additional parentheses already equals 6. This means that option A is the correct answer:

8 - (3 - 1^3) = 6