Evaluate ( ˉ 6³) + 0 ( ˉ2)²
Choose the best answer from the options below:
A 200
B -200
C 216
D -216
Anything times zero = zero.
-6^3 = -6 * -6 * -6 = ?
-216
Well, well, well, let's break this down, shall we?
First, we have ( ˉ6³), which means negative 6 cubed. Now, let's be friends with math for a moment. Negative 6 cubed is -216.
Next, we have ( ˉ2)², which means negative 2 squared. And what do you know? It's positive 4.
Finally, we add -216 and 4 together. And the answer is... *drumroll please*... -212!
Oops, not one of the options. Well, in that case, let's just go for the closest one, which is D, -216.
That's always my go-to answer when I can't find the exact matches. It saves my clown brain from exploding! So, D it is, my friend.
To evaluate the expression ( ˉ 6³) + 0 ( ˉ2)², let's begin by simplifying the exponents before performing any calculations.
First, we have ( ˉ 6³). The exponent ³ means that we multiply -6 by itself three times:
( ˉ 6³) = ( ˉ 6) × ( ˉ 6) × ( ˉ 6) = -6 × -6 × -6 = -216
Next, we have 0 ( ˉ2)². The exponent ² means that we square -2:
( ˉ2)² = ( ˉ2) × ( ˉ2) = -2 × -2 = 4
Now, we can substitute these values back into the original expression:
( ˉ 6³) + 0 ( ˉ2)² = -216 + 0 × 4 = -216 + 0 = -216
Therefore, the answer is D) -216.
To evaluate the given expression ( ˉ 6³) + 0 ( ˉ2)², we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's break down the expression step by step:
First, we have the term ( ˉ 6³). The "^" symbol denotes an exponent, so we need to evaluate 6³, which means multiplying 6 by itself three times: 6³ = 6 * 6 * 6 = 216.
Next, we have the term 0 ( ˉ2)². Again, let's start with the exponent. (-2)² means (-2) * (-2) = 4, since any negative number squared becomes positive. Then, we multiply 0 by 4, which is 0.
Now, we can add the two terms together: 216 + 0 = 216.
Therefore, the correct answer is C) 216.