Solve left(x^3x^2x^3right)^2div{left({x}^4right)}^3

$${ \left( { x }^{ 3 } { x }^{ 2 } { x }^{ 3 } \right) }^{ 2 } \div { \left( { x }^{ 4 } \right) }^{ 3 }$$

Evaluate

$$x^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{\left(x^{5}x^{3}\right)^{2}}{\left(x^{4}\right)^{3}}$$

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$\frac{\left(x^{8}\right)^{2}}{\left(x^{4}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 2 to get 16.

$$\frac{x^{16}}{\left(x^{4}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.

$$\frac{x^{16}}{x^{12}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 12 from 16 to get 4.

$$x^{4}$$

Expand

$$x^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{\left(x^{5}x^{3}\right)^{2}}{\left(x^{4}\right)^{3}}$$

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$\frac{\left(x^{8}\right)^{2}}{\left(x^{4}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 2 to get 16.

$$\frac{x^{16}}{\left(x^{4}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.

$$\frac{x^{16}}{x^{12}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 12 from 16 to get 4.

$$x^{4}$$