Write with positive exponents 125^-5/3
When dealing with negatives, take the inverse of the base number to change the negative exponent to a positive. Try it :)
but i'm not getting the right answer!!! :/
hmm what is the right answer for it?
or what your answer is.
-5
Alright look, when you have a negative exponent, your goal is to make it positive. You need to take an inverse of the base to do so. What is the inverse of 125?
-125
Nope.
What is 125 in fraction form?
ohhh sorry 5
or idk lol i have a serious problem
Not even that. Alright then lemme teach you.
okay
The fraction form of any whole number is always \[\frac{ n }{ 1 }\] where n is the number over 1
So the fraction form of 9 is \[\frac{ 9 }{ 1 }\]
Do you know what the inverse of a number is?
isn't it the opposite of the number?
What is the inverse of 1/4?
-4 or just 4!!!
I guess
4 is the correct answer. The inverse of 1/4 cannot be 4 simply because there is no negative here.
I mean cannot be -4*
ohhh okay
Now, onto your question.
inverse is basically flipping.. taking numerator in denominator and denominator in numerator.
What is the inverse of 125?
1/125
Good job :) Now that you took the inverse of the base, what happens to the exponent?
-3/5
Nope. Remember what I said above. "When dealing with negatives, take the inverse of the base number to change the negative exponent to a positive."
okayyy so it's 3/5
Nope. What is the original fraction. You do not need to take the inverse of the exponent. Just the base.
can you just solve it and when you do i'll look at the process and get it! :/
Ah, just what I've been saying to the Moderators. Take the inverse: (1/125)^(5/3) Exponent becomes positive. This is because (1/125) = 125^-1 Using the power law for exponents (1/125)^(-1)(-5/3) = (1/125)^(5/3)
Get it?
okayyy yes I get it now Thanks and sorry for being slow
wanna try a practice question?
wait i have a question! so is it the same for 125^(-5/3)
try it on your calculator. Remember to put brackets around the exponents or fractions.
got it?
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