(3/9 • 12)^2 - (2-3)^3
To simplify the expression, let's start by evaluating the numbers within parentheses:
(3/9 • 12) = (1/3 • 12) = 4
(2-3) = -1
Now, we can substitute these values back into the original expression:
(4)^2 - (-1)^3
Simplifying further:
16 - (-1)
The subtraction of a negative number is the same as adding its positive counterpart:
16 + 1
Therefore:
(3/9 • 12)^2 - (2-3)^3 = 17
To simplify the expression (3/9 • 12)^2 - (2-3)^3, let's break it down step-by-step:
Step 1: Simplify the first part of the expression: (3/9 • 12)^2
First, we find the value of (3/9 • 12):
(3/9 • 12) = (1/3 • 12) = 4
Now, we can square 4:
4^2 = 16
Step 2: Simplify the second part of the expression: (2-3)^3
Subtract 2 from 3:
(2-3) = -1
Now, we can cube -1:
(-1)^3 = -1
Step 3: Plug the simplified values back into the original expression:
(3/9 • 12)^2 - (2-3)^3 = 16 - (-1)
Now, we can subtract the values:
16 - (-1) = 16 + 1
Step 4: Final simplification:
16 + 1 = 17
Therefore, the simplified expression is 17.
To solve the expression (3/9 • 12)^2 - (2-3)^3, follow the order of operations (also known as PEMDAS):
Step 1: Simplify any expressions inside parentheses or brackets.
In this case, there is only one set of parentheses: (2-3).
(2-3) = -1
The expression now becomes: (3/9 • 12)^2 - (-1)^3
Step 2: Evaluate any exponents.
Now, we have the following expression: (3/9 • 12)^2 - (-1)^3
Since there is an exponent of 2 on the first part, we need to evaluate it:
(3/9 • 12)^2 = (1/3 • 12)^2
= (4)^2
= 16
The expression now simplifies to: 16 - (-1)^3
Step 3: Evaluate any remaining operations from left to right.
Finally, we have 16 - (-1)^3.
(-1)^3 means raising -1 to the power of 3, which is -1 × -1 × -1 = -1.
The expression reduces further to: 16 - (-1)
Step 4: Perform the subtraction.
Subtracting a negative number is the same as adding the positive number.
16 - (-1) = 16 + 1 = 17.
So, the final value of the given expression (3/9 • 12)^2 - (2-3)^3 is 17.