Solve (x^{3})^{4}div(x^3)^9*(x^3)^5

$$( x ^ { 3 } ) ^ { 4 } \div ( x ^ { 3 } ) ^ { 9 } \times ( x ^ { 3 } ) ^ { 5 }$$

Evaluate

$$1$$

Solution Steps

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

$$\frac{x^{12}}{\left(x^{3}\right)^{9}}\left(x^{3}\right)^{5}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 9 to get 27.

$$\frac{x^{12}}{x^{27}}\left(x^{3}\right)^{5}$$

Rewrite x^{27} as x^{12}x^{15}. Cancel out x^{12} in both numerator and denominator.

$$\frac{1}{x^{15}}\left(x^{3}\right)^{5}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 5 to get 15.

$$\frac{1}{x^{15}}x^{15}$$

Cancel out x^{15} and x^{15}.

$$1$$

Factor

$$1$$