Solve (27x^6)^1/3/3x^2

$$\frac { ( 27 x ^ { 6 } ) ^ { 1 / 3 } } { 3 x ^ { 2 } }$$

Evaluate

$$1$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\sqrt[3]{27x^{6}}\times \frac{1}{3x^{2}}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\sqrt[3]{27}\sqrt[3]{x^{6}}\times \frac{1}{3}\times \frac{1}{x^{2}}$$

Use the Commutative Property of Multiplication.

$$\sqrt[3]{27}\times \frac{1}{3}\sqrt[3]{x^{6}}\times \frac{1}{x^{2}}$$

To raise a power to another power, multiply the exponents.

$$\sqrt[3]{27}\times \frac{1}{3}x^{6\times \frac{1}{3}}x^{2\left(-1\right)}$$

Multiply 6 times \frac{1}{3}.

$$\sqrt[3]{27}\times \frac{1}{3}x^{2}x^{2\left(-1\right)}$$

Multiply 2 times -1.

$$\sqrt[3]{27}\times \frac{1}{3}x^{2}x^{-2}$$

To multiply powers of the same base, add their exponents.

$$\sqrt[3]{27}\times \frac{1}{3}x^{2-2}$$

Add the exponents 2 and -2.

$$\sqrt[3]{27}\times \frac{1}{3}x^{0}$$

Raise 27 to the power \frac{1}{3}.

$$3\times \frac{1}{3}x^{0}$$

Multiply 3 times \frac{1}{3}.

$$x^{0}$$

For any term t except 0, t^{0}=1.

$$1$$

Factor

$$1$$