- (-4)3rd power + (-3)2nd power - .5 3rd power
is 72.875 correct? The 4 is negative because its to the 3rd power, but the negative before it makes it positive, am I right? thanks
correct.
Yep
To evaluate the expression (-4)^3 + (-3)^2 - 0.5^3, let's follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, followed by Addition and Subtraction from left to right).
First, evaluate the exponents:
(-4)^3 = (-4) * (-4) * (-4) = -64
(-3)^2 = (-3) * (-3) = 9
0.5^3 = 0.5 * 0.5 * 0.5 = 0.125
Now substitute these values back into the expression:
-64 + 9 - 0.125
Next, perform the addition and subtraction from left to right:
-64 + 9 = -55
-55 - 0.125 = -55.125
Therefore, the value of the expression is -55.125, which is not equal to 72.875.
The negative exponent does not make the value inside the parentheses positive; rather, it means to take the reciprocal of the value. In this case, (-4)^3 means that we multiply -4 by itself three times.
If you have any further questions, please let me know!