Question
upstudy study bank question image url

Which expression is equivalent to
Answer

Ask by Dawson Deleon. in the United States
Dec 22,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

The expression simplifies to .

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

To simplify the expression , we start by dealing with the inner part. Dividing two powers with the same base subtracts the exponent, so we have:
Now, applying the outer exponent -1 gives:
Thus, the expression simplifies to .
For real-world application, understanding exponents is crucial in fields like science and finance. For instance, in biology, the exponential growth of populations is modeled using exponents. Similarly, investment growth can be calculated using exponential functions to forecast future values based on current rates.
Common mistakes include forgetting the rules of exponents, especially the division of them. It’s essential to remember that dividing powers of the same base means subtracting exponents, not applying the reciprocal directly without adjusting the exponents first. A quick check of your fractions can help catch these errors!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy