Final answer:
The multiplication and division rules must be followed in order to determine which expressions are equal to the given expression. Out of the given options, only the expression 4(3) is equivalent to the given expression, as it is the multiplication of two positive numbers. So, the correct answer is 2) 4(3).
Step-by-step explanation:
To identify which expressions are equivalent to the given expression, we must follow the rules of multiplication and division including how signs affect the result.
Let's review and apply the rules to each option:
-7×6: When a negative number is multiplied by a positive number, the result is negative. Therefore, this option is not equivalent to the given expression, which has mixed signs.
4(3): This is the multiplication of two positive numbers, resulting in a positive number. Hence, this option matches the given expression.
-3: This is simply a negative number and not a product, so it cannot be equivalent to the given expression.
4(-12)3: Here, a positive number is multiplied by a negative number, raising the result to the third power. Since raising a negative number to an odd power keeps the result negative, this option does not match the positive outcome of the given expression.
Therefore, the only option equivalent to the given one is 2) 4(3).
Which of the following are equivalent to the expression shown below? Select all that apply. -76 (4)(3) 3-4 (-12)3
1) -76
2) 4(3)
3) -3
4) 4(-12)3