Solve the multi-step problem (3/9⋅12)^2−(2−3)^3
First, let's simplify the expression inside the parentheses:
(3/9⋅12)^2−(2−3)^3
We can start by simplifying the first part: (3/9⋅12)^2
To simplify this, we first calculate the value inside the parentheses:
3/9⋅12 = 1/3⋅12 = 4
Now we have (4)^2, which equals 16.
Next, let's simplify the second part: (2−3)^3
2−3 = -1
Now we have (-1)^3, which equals -1.
Finally, we substitute the simplified values back into the original expression:
(3/9⋅12)^2−(2−3)^3 = 16 - (-1) = 16 + 1 = 17
Therefore, the solution is 17.
To solve the multi-step problem, let's break it down step-by-step:
Step 1: Simplify the expression inside the parentheses first.
(2 - 3)^3 becomes (-1)^3, which is equal to -1.
Step 2: Simplify the expression outside the parentheses.
(3/9 * 12)^2 becomes (1/3 * 12)^2, which is equal to (4)^2.
Step 3: Calculate the simplified expression using the exponent rule.
(4)^2 equals 16.
Step 4: Substitute the simplified values back into the original expression.
(3/9 * 12)^2 - (2 - 3)^3 becomes 16 minus -1.
Step 5: Perform the subtraction.
16 - (-1) equals 16 + 1, which equals 17.
Therefore, the solution to the multi-step problem is 17.
To solve the multi-step problem (3/9⋅12)^2 - (2 - 3)^3, let's break it down step by step:
Step 1: Simplify the expressions inside parentheses.
(3/9⋅12)^2 - (2 - 3)^3 simplifies to:
(3/9⋅12)^2 - (-1)^3
Step 2: Simplify any exponents.
Since we only have one exponent in this expression, we can simplify it.
(3/9⋅12)^2 is the same as (1/3⋅12)^2, which equals (4)^2.
Step 3: Perform any remaining operations.
Now that we have simplified the expression, we can perform the remaining operations.
(4)^2 - (-1)^3 simplifies to:
16 - (-1)
Step 4: Evaluate the expression.
We subtract -1 from 16:
16 - (-1) = 16 + 1 = 17
Therefore, the solution to the multi-step problem (3/9⋅12)^2 - (2 - 3)^3 is 17.