QuestionEvaluate this power with a base that is a negative fraction. What is the value of the power?
Studdy Solution
STEP 1
What is this asking?
We need to figure out what equals.
Watch out!
Remember that squaring a negative number makes it positive!
Don't forget that the entire fraction is being squared, not just the 1.
STEP 2
1. Rewrite the power
2. Multiply the fractions
STEP 3
Let's **rewrite** our power to make it super clear what we're doing.
Remember, squaring something means multiplying it by itself.
So, is the same as .
This makes it much easier to see what's going on!
STEP 4
Now, let's **multiply** the numerators (the top parts of the fractions) together.
A negative times a negative makes a positive!
So, .
STEP 5
Next, let's **multiply** the denominators (the bottom parts) together. .
STEP 6
Putting it all together, we get !
STEP 7
Our **final answer** is .
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