Problem
Use properties of exponents to simplify the expression. Express the answer in exponentia Next question Exponents only. Assume that any variable in the denominator is not equal to zero. \[ \frac{\left(x^{3}\right)^{4}}{\left(x^{2}\right)^{7}} \] \[ \frac{\left(x^{3}\right)^{4}}{\left(x^{2}\right)^{7}}= \] (Simplify your answer. Type exponential notation with positive exponents.)
Solution
Step 1 ：\[\frac{\left(x^{3}\right)^{4}}{\left(x^{2}\right)^{7}} = \frac{x^{3*4}}{x^{2*7}}\]
Step 2 ：\[\frac{x^{12}}{x^{14}}\]
Step 3 ：\[x^{12-14}\]
Step 4 ：\[x^{-2}\]
Step 5 ：\[x^{-2} = \frac{1}{x^{2}}\]
Step 6 ：\[\boxed{\frac{1}{x^{2}}}\]
