Question
\( 3^{8}\div 3^{6}=3^{3-6=3}=3^{3}= \)
Ask by Simpson Ramos. in Argentina
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
La respuesta es 9.
Solution
Calculate or simplify the expression \( 3^{8} / 3^{6} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{3^{8}}{3^{6}}\)
- step1: Multiply by \(a^{-n}:\)
\(3^{8}\times 3^{-6}\)
- step2: Multiply:
\(3^{8-6}\)
- step3: Subtract the numbers:
\(3^{2}\)
- step4: Evaluate the power:
\(9\)
La expresión \(3^{8} \div 3^{6}\) se simplifica a \(9\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
Let's clarify and break down the expression a bit. When you divide exponential terms with the same base, you subtract their exponents. So, \( 3^{8} \div 3^{6} = 3^{8-6} = 3^{2} \). Thus, the correct simplification leads to \( 3^{2} = 9 \). A little mix-up happened with the calculation of exponents, but don’t worry; everyone makes mistakes! Oh, and here's a fun fact: exponents aren't just for math class! They pop up everywhere in the real world, from the calculations of compound interest in finance to measuring the intensity of earthquakes on the Richter scale. Understanding exponents can greatly enhance your problem-solving skills in various fields!
