Question

Write a numeral expression with at least three operations that has the same value as (12-9)² * (4³)

Answer 1

A numeral expression with at least three operations that has the same value as (12-9)² * (4³) is [(6×2) - (5+1)]² * (2²×2²). This expression incorporates addition, subtraction, multiplication, and exponents, and it simplifies to the same value of 576.

Step-by-step explanation:

The task is to write a numeral expression with at least three operations that has the same value as (12-9)² * (4³). First, let's evaluate the given expression step-by-step:

1. Calculate the difference inside the parentheses: (12-9) which equals 3.
2. Raise the result to the power of 2: 3² equals 9.
3. Calculate 4 raised to the power of 3: 4³ which equals 64.
4. Multiply the results of step 2 and step 3 together: 9 * 64 equals 576.

To create a new expression with the same value, incorporating at least three operations, one example could be:

[(6×2) - (5+1)]² * (2²×2²)

Breaking this down:

1. Multiply 6 by 2 to get 12.
2. Add 5 and 1 to get 6.
3. Subtract the result of step 2 from the result of step 1: 12 - 6 equals 6.
4. Raise 6 to the power of 2 to get 36.
5. Multiply 2 to the power of 2 with 2 to the power of 2 to get 16.
6. Finally, multiply the results of step 4 and step 5: 36 * 16 equals 576, which matches the original expression's value.

This alternative expression incorporates addition, subtraction, multiplication, and exponents.