Exercise
$\left(\frac{6m^{\text{2}}}{x^6}\right)^2$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression ((6m^2)/(x^6))^2. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Simplify \left(x^6\right)^2 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 2. Multiply 6 times 2. Multiply 6 times 2.
Simplify the expression ((6m^2)/(x^6))^2
Final answer to the exercise
$\frac{36m^{4}}{x^{12}}$