how do I simplify (-3)^3 - (-8)(-2)
Perform the indicated calculations. -3 cubed is -27.
(-8)(-2) is +16.
Subtract one from the other.
so -9 is correct?
yes
No.
-27 -16 = -43
To simplify the expression (-3)^3 - (-8)(-2), you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Step 1: Evaluate the exponent (-3)^3.
To do this, raise the base (-3) to the power of the exponent (3).
(-3)^3 = (-3) x (-3) x (-3) = -27
After simplifying the exponent, the expression becomes:
-27 - (-8)(-2)
Step 2: Evaluate the multiplication (-8)(-2) within the parentheses.
To multiply, simply multiply the two numbers inside the parentheses.
(-8)(-2) = 16
After simplifying the multiplication, the expression becomes:
-27 - 16
Step 3: Perform subtraction.
To subtract, subtract the second number from the first.
-27 - 16 = -43
Therefore, the simplified expression is -43.
In summary, to simplify (-3)^3 - (-8)(-2):
- Evaluate the cube of (-3) which gives -27.
- Multiply (-8) and (-2), which gives 16.
- Subtract 16 from -27 to yield the final answer of -43.