Exercise
$\left(\frac{1}{\sqrt{1-3x}}\right)^3$
Step-by-step Solution
Learn how to solve multiply powers of same base problems step by step online. Simplify the expression (1/((1-3x)^(1/2)))^3. 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 1^3. Simplify \left(\sqrt{1-3x}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 3. Multiply the fraction and term in 3\left(\frac{1}{2}\right).
Simplify the expression (1/((1-3x)^(1/2)))^3
Final answer to the exercise
$\frac{1^3}{\sqrt{\left(1-3x\right)^{3}}}$