Complete the Equation: Solving for the Value Equal to 8

8= 8=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Break down to power
00:03 Let's break down the power into multiplication, including the sign
00:12 We see that the sign remains negative, so it doesn't fit
00:20 This option is exactly like the previous one, just multiplied by minus
00:26 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

8= 8=

2

Step-by-step solution

To solve this problem, let's evaluate both given expressions to determine which results in 8.

  • Step 1: Evaluate (2)3(-2)^3:
    (2)3=(2)×(2)×(2)(-2)^3 = (-2) \times (-2) \times (-2).
    Multiplying across: (2)×(2)=4(-2) \times (-2) = 4, and then 4×(2)=84 \times (-2) = -8.
    Thus, (2)3=8(-2)^3 = -8.
  • Step 2: Evaluate (2)3-(-2)^3:
    First, calculate (2)3(-2)^3 again: We already know (2)3=8(-2)^3 = -8.
    Now, apply the negative sign: (8)=8-(-8) = 8.

Therefore, the expression that equals 88 is (2)3-(-2)^3.

Thus, the correct expression that evaluates to 8 is (2)3-(-2)^3.

3

Final Answer

(2)3 -(-2)^3

Practice Quiz

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\( (-2)^7= \)

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