Use properties of exponents to simplify the expression. Express the answer in exponentia
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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.)

Answer

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Answer

\[\boxed{\frac{1}{x^{2}}}\]

Steps

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 ：\[\boxed{\frac{1}{x^{2}}}\]