Learn how to solve simplification of algebraic expressions problems step by step online. Solve the exponential equation 16^(3x)=64^(x+9). Decompose 16 in it's prime factors. Simplify \left(2^{4}\right)^{3x} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals 3x. Rewrite the power 64^{\left(x+9\right)} with base 2. Simplify \left(2^{6}\right)^{\left(x+9\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals x+9.

Solve the exponential equation 16^(3x)=64^(x+9)