How do you simplify #9^(-1/2)# leaving only positive exponents?

Answer 1

#9^(-1/2)=1/9^(1/2)=1/3#

We have a 9 to the negative 1/2 power.

The power to 1/2 means we take the square root. The negative power means we'll have a positive power if we put it on the other side of the divide sign. Let's do this step by step to illustrate:

#9^(-1/2)=1/9^(1/2)=1/3#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To simplify 9^(-1/2) leaving only positive exponents, apply the property of exponents that states: ( a^{-n} = \frac{1}{a^n} ).

So, ( 9^{-1/2} = \frac{1}{9^{1/2}} ).

Now, ( 9^{1/2} ) is the square root of 9, which equals 3.

Therefore, ( \frac{1}{9^{1/2}} = \frac{1}{3} ).

Hence, the simplified expression with only positive exponents is ( \frac{1}{3} ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7