Exercise
$\left(\frac{\sqrt{3}}{4}d^{3x-2}\right)^2$
Step-by-step Solution
Learn how to solve power of a product problems step by step online. Solve the product power ((3^(1/2))/4d^(3x-2))^2. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(d^{\left(3x-2\right)}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3x-2 and n equals 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}. Calculate the power 4^2.
Solve the product power ((3^(1/2))/4d^(3x-2))^2
Final answer to the exercise
$\frac{3}{4^2}d^{2\left(3x-2\right)}$