Exercise
$\left(\frac{a^3}{2}\right)^4$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression ((a^3)/2)^4. 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 2^4. Simplify \left(a^3\right)^4 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 4. Multiply 3 times 4.
Simplify the expression ((a^3)/2)^4
Final answer to the exercise
$\frac{a^{12}}{2^4}$