2^x \cdot (2^3)^{x-1} = 2^6

Wed, 06 May 2026 02:01:37 +0000

Understanding 2^x · (2³)^{x−1} = 2⁶: Solving the Exponential Equation When faced with the equation 2^x · (2³)^{x−1} = 2⁶, many students and learners wonder how to simplify and solve it efficiently. This problem beautifully demonstrates key principles of exponential expressions, especially the rules of exponents—leveraging powers of powers and product rules—making it a perfect example for practicing algebraic and logarithmic thinking in everyday math and education. --- ### What does 2^x · (2³)^{x−1} = 2⁶ mean?