Solve the Exponent Problem: Finding (-8)² Using Order of Operations

Solve the following expression:

(8)2= (-8)^2=

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Step-by-step video solution

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00:00 Solve
00:03 First, let's calculate the sign
00:06 Even power, therefore the sign will be positive
00:12 Now let's calculate the power
00:15 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following expression:

(8)2= (-8)^2=

2

Step-by-step solution

When we have a negative number raised to a power, the location of the minus sign is very important.

If the minus sign is inside or outside the parentheses, the result of the exercise can be completely different.

When the minus sign is inside the parentheses, our exercise will look like this:

(-8)*(-8)=

Since we know that minus times minus is actually plus, the result will be positive:

(-8)*(-8)=64

3

Final Answer

64 64

Practice Quiz

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\( (-2)^7= \)

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