Solve 6(x^17)^(1/6) * (8x)^(2/3)

Evaluate

6 (x^{1} \times 7)^{\frac{1}{6}} (8 x)^{\frac{2}{3}}

To find the roots of the expression,set the expression equal to 0

6 (x^{1} \times 7)^{\frac{1}{6}} (8 x)^{\frac{2}{3}} = 0

Find the domain

More Steps

6 (x^{1} \times 7)^{\frac{1}{6}} (8 x)^{\frac{2}{3}} = 0, x \geq 0

Calculate

6 (x^{1} \times 7)^{\frac{1}{6}} (8 x)^{\frac{2}{3}} = 0

Evaluate the power

6 (x \times 7)^{\frac{1}{6}} (8 x)^{\frac{2}{3}} = 0

Use the commutative property to reorder the terms

6 (7 x)^{\frac{1}{6}} (8 x)^{\frac{2}{3}} = 0

Multiply the terms

More Steps

2467 \times x^{\frac{5}{6}} = 0

Rewrite the expression

x^{\frac{5}{6}} = 0

Evaluate the power

x = 0

Check if the solution is in the defined range

x = 0, x \geq 0

Solution

x = 0

Simplify the expression