4x\frac{1}{3}+\frac{1}{6}x^{-\frac{1}{3}}+4x^{-4}+5x^{-7}

asked by guest
on Sep 22, 2024 at 1:07 pm



You asked:

Evaluate the expression: \(4 x \cdot \frac{1}{3} + \frac{1}{6} \cdot {x}^{-\left( \frac{1}{3} \right)} + 4 \cdot {x}^{-4} + 5 \cdot {x}^{-7}\)

MathBot Answer:

Evaluated



\(\displaystyle 4 x \cdot \frac{1}{3} + \frac{1}{6} \cdot {x}^{-\left( \frac{1}{3} \right)} + 4 \cdot {x}^{-4} + 5 \cdot {x}^{-7} = \frac{4 x}{3} + \frac{4}{x^{4}} + \frac{5}{x^{7}} + \frac{1}{6 \sqrt[3]{x}} \)

Factored

\[4 x \cdot \frac{1}{3} + \frac{1}{6} \cdot {x}^{-\left( \frac{1}{3} \right)} + 4 \cdot {x}^{-4} + 5 \cdot {x}^{-7} = \frac{8 x^{\frac{25}{3}} + 24 x^{\frac{10}{3}} + 30 \sqrt[3]{x} + x^{7}}{6 x^{\frac{22}{3}}}\]

+ Submit Question