Final answer to the problem
$m=5$
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Step-by-step Solution
Learn how to solve exponential equations problems step by step online. Solve the equation (x^mx^2)^3f^3^5=x^21f^15. Simplify \left(f^3\right)^5 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 5. When multiplying exponents with same base we can add the exponents. Simplify \left(x^{\left(m+2\right)}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals m+2 and n equals 3. Cancel f^{15} from both sides of the equation.
Final answer to the problem
$m=5$
