(-3)to the third power - (-8)(-2)
-3 x -3 x -3 = ?
When you multiply three negatives together, your answer will be negative.
-8 x -2 = ?
Multiplying two negatives will be a positive answer.
You will subtract these two from one another to get your answer.
-3^2
To solve the expression (-3) to the third power - (-8)(-2), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) and evaluate the terms step by step.
Let's break down the expression:
(-3) to the third power can be written as (-3)^3.
(-8)(-2) can be simplified by multiplying -8 and -2 together, which gives us 16.
Now, we can substitute these values back into the original expression:
(-3)^3 - (-8)(-2) = (-27) - 16
Now, let's simplify the expression further:
(-27) - 16 = -27 - 16 = -43
Therefore, the result of (-3) to the third power - (-8)(-2) is -43.
To solve these types of expressions manually, you can either use a calculator that supports exponentiation or manually multiply the base number by itself the number of times specified by the exponent. In this case, -3 to the third power means multiplying -3 by itself three times:
(-3)^3 = -3 * -3 * -3 = -27
For (-8)(-2), we just need to multiply -8 and -2 together:
(-8)(-2) = 16
After calculating these intermediate values, we substitute them back into the original expression and perform the subtraction to find the final result.