Wheeler Morgan
09/10/2023 · Junior High School
a) \( \left(-\frac{5}{6}\right) \cdot\left(-\frac{5}{6}\right)^{2} \cdot\left(-\frac{5}{6}\right)^{-5}= \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (-5/6) * (-5/6)^2 * (-5/6)^(-5) \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{-5}{6}\right)\left(\frac{-5}{6}\right)^{2}\left(\frac{-5}{6}\right)^{-5}\)
- step1: Rewrite the fraction:
\(\left(\frac{-5}{6}\right)\left(-\frac{5}{6}\right)^{2}\left(\frac{-5}{6}\right)^{-5}\)
- step2: Rewrite the fraction:
\(\left(\frac{-5}{6}\right)\left(-\frac{5}{6}\right)^{2}\left(-\frac{5}{6}\right)^{-5}\)
- step3: Rewrite the fraction:
\(\left(-\frac{5}{6}\right)\left(-\frac{5}{6}\right)^{2}\left(-\frac{5}{6}\right)^{-5}\)
- step4: Remove the parentheses:
\(-\frac{5}{6}\left(-\frac{5}{6}\right)^{2}\left(-\frac{5}{6}\right)^{-5}\)
- step5: Multiply the terms:
\(-\frac{5}{6}\left(-\frac{5}{6}\right)^{2-5}\)
- step6: Subtract the numbers:
\(-\frac{5}{6}\left(-\frac{5}{6}\right)^{-3}\)
- step7: Multiply the numbers:
\(-\left(-\frac{36}{25}\right)\)
- step8: Use the rules for multiplication and division:
\(\frac{36}{25}\)
The result of the expression \( \left(-\frac{5}{6}\right) \cdot\left(-\frac{5}{6}\right)^{2} \cdot\left(-\frac{5}{6}\right)^{-5} \) is \( 1.44 \) or \( 1\frac{11}{25} \) or \( \frac{36}{25} \).
Quick Answer
El resultado de la expresión \( \left(-\frac{5}{6}\right) \cdot\left(-\frac{5}{6}\right)^{2} \cdot\left(-\frac{5}{6}\right)^{-5} \) es \( 1.44 \) o \( 1\frac{11}{25} \) o \( \frac{36}{25} \).
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
Submit