Exercise
$\sqrt[2]{\frac{z^4}{81}}\:\:\:$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression ((z^4)/81)^(1/2). 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 \sqrt{81}. Simplify \sqrt{z^4} 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 \frac{1}{2}. Multiply the fraction and term in 4\cdot \left(\frac{1}{2}\right).
Simplify the expression ((z^4)/81)^(1/2)
Final answer to the exercise
$\frac{z^{2}}{\sqrt{81}}$