College Algebra - (2^(x–1)) ÷ (2^(3–4x)) = 16 — Can You Solve This WITHOUT a Calculator?

Try solving this exponential equation: (2^(x–1)) ÷ (2^(3–4x)) = 16 — and don’t use a calculator! This is a great example of how to apply laws of exponents, simplify powers, and solve for x using algebraic thinking. Problems like this often show up in Algebra 2, Pre-Calculus, and standardized tests — and many students get tripped up when negative exponents and division are involved. In this step-by-step video, I’ll guide you through the smartest approach to simplify and solve it correctly. ________________________________________ 👉 Need Help with Math? Get full lessons, practice problems, and expert teacher instruction at TabletClass Math Academy: 🔗 https://TCMathAcademy.com Perfect for: ✅ Homeschool Students (Grades 6–12) ✅ High School & College Math Review ✅ Test Prep: SAT, ACT, GED, CLEP, ASVAB, PRAXIS & More ✅ Adults Brushing Up on Math Skills ________________________________________ 📘 Popular Math Courses: ➡️ Math Foundations https://tabletclass-academy.teachable.com/p/foundations-math-course ➡️ Math Skills Rebuilder Course https://tabletclass-academy.teachable.com/p/math-skills-rebuilder-course ➡️ Algebra 1 https://tabletclass-academy.teachable.com/p/tabletclass-math-algebra1 ➡️ Algebra 2 https://tabletclass-academy.teachable.com/p/tabletclass-math-algebra-21 ➡️ Pre-Calculus https://tabletclass-academy.teachable.com/p/tabletclass-math-pre-calculus ________________________________________ 💬 Drop your answer in the comments before watching — and let me know which exponent rule tripped you up! 📢 Be sure to Like 👍, Subscribe 🔔, and Share this if you're prepping for math tests or just love exponent puzzles!