Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression simplifies to 3.
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
The Deep Dive
Let's break it down! First, we simplify \( 6^{3}: 2^{3} \). We know \( 6 = 2 \times 3 \), so \( 6^{3} = (2 \times 3)^{3} = 2^{3} \times 3^{3} \). This means \( 6^{3}: 2^{3} = \frac{2^{3} \times 3^{3}}{2^{3}} = 3^{3} \). Now we need to calculate \( (3^{3})^{2} = 3^{6} \). So, we have \( 3^{7} : 3^{6} = 3^{7-6} = 3^{1} = 3 \). The final answer is \( 3 \).
