Paul Parry
12/29/2023 · Senior High School

\begin{tabular}{l|l}\( \frac{7.6^{3}}{7.6^{8}} \) & Quotient of Powers Law \\ - Power of a Quotient Law \\ - Zero Exponent Law \end{tabular}

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

To simplify the expression \( \frac{7.6^{3}}{7.6^{8}} \), we can use the Quotient of Powers Law, which states that when dividing two powers with the same base, we subtract the exponents: \[ \frac{a^m}{a^n} = a^{m-n} \] In this case, we have: \[ \frac{7.6^{3}}{7.6^{8}} = 7.6^{3-8} = 7.6^{-5} \] Thus, the correct law to apply here is the **Quotient of Powers Law**. The other laws mentioned, the Power of a Quotient Law and the Zero Exponent Law, do not apply directly to this expression. So, the final answer is: \[ \frac{7.6^{3}}{7.6^{8}} = 7.6^{-5} \] And the relevant law used is the **Quotient of Powers Law**.

Quick Answer

The expression simplifies to \( 7.6^{-5} \) using the Quotient of Powers Law.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
Basic
  • Limited Solutions