Raising any negative number to an even power will result in a positive outcome.
When is even:
Raising any negative number to an even power will result in a positive outcome.
When is even:
Raising any negative number to an odd power will result in a negative outcome.
When is odd:
When the exponent is outside the parentheses - it applies to everything inside them.
When the exponent is inside the parentheses - it applies only to its base and not to the minus sign that precedes it.
\( \)\( (-8)^2= \)
\( (-5)^{-3}=\text{?} \)
\( (-2)^7= \)
\( 9= \)
\( \)\( -(2)^2= \)
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
First let's recall the negative exponent rule:
We'll apply it to the expression we received:
Next let's recall the power rule for expressions in parentheses:
And we'll apply it to the denominator of the expression we received:
In the first step, we expressed the negative number inside the parentheses in the denominator as a multiplication between a positive number and negative one, and then we used the power rule for expressions in parentheses to expand the parentheses, and then we simplified the expression.
Let's summarize the solution to the problem:
Therefore, the correct answer is answer B.
\( -(-1)^{80}= \)
\( 36= \)
\( 49= \)
\( -6^2= \)
\( 64= \)
\( 8= \)
\( \)\( -(-1)^{100}= \)
\( \)\( (-1)^{99}= \)
\( \)\( -(-2)^3= \)
\( \)\( -(-6)^2= \)