206k views
5 votes
How do I solve 1/9 to the -3 power= 9 to the ____power

2 Answers

6 votes
Your answer is 9 to the 3 power, where the blank is 3.

To find this, I first wrote out the equation:

{ ( (1)/(9))}^( - 3) = {9}^(x)

Then I found the value of (1/9)^-3, which you can do by first flipping the fraction 1/9 as the power is negative, to get 9/1, or just 9, and then putting 9 to the power of 3 to get 27.

You could have already noticed that we got 9³ = 9^x, so x = 3, but if you didn't then you would just need to see that 27 is 9³.

I hope this helps!
User Laurentb
by
5.7k points
2 votes

When you have a fraction with a negative power, change the power number into positive, and then flip the fraction into a whole number (or if it started as a whole number, flip to fraction).


1/9^-3 = 9^3


3 is your answer, or "9 to the 3rd power"


hope this helps

User Tigran Iskandaryan
by
5.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.