Solve (x^6divx^3*x)^2

$$( x ^ { 6 } \div x ^ { 3 } \cdot x ) ^ { 2 }$$

Evaluate

$$x^{8}$$

Steps for Raising Power to Another Power

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 6 to get 3.

$$\left(x^{3}x\right)^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\left(x^{4}\right)^{2}$$

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

$$x^{4\times 2}$$

Multiply 4 times 2.

$$x^{8}$$

Expand

$$x^{8}$$

Steps for Raising Power to Another Power

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 6 to get 3.

$$\left(x^{3}x\right)^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\left(x^{4}\right)^{2}$$

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

$$x^{4\times 2}$$

Multiply 4 times 2.

$$x^{8}$$