Question
Which expression is equivalent to x^6 x^3(x^2)^2 (x^5(x^7))/(x^2) (x^11)/(x^3)(x^(2)) (x^3)^4
Solution
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DylanProfessional · Tutor for 6 years
Answer
### C. $\frac {x^{11}}{x^{3}(x^{2})}$
Explain
## Step 1: Simplify the first expression<br />### $x^{3}(x^{2})^{2} = x^{3}x^{4} = x^{3+4} = x^{7}$<br /><br />## Step 2: Simplify the second expression<br />### $\frac {x^{5}(x^{7})}{x^{2}} = \frac{x^{5+7}}{x^{2}} = \frac{x^{12}}{x^{2}} = x^{12-2} = x^{10}$<br /><br />## Step 3: Simplify the third expression<br />### $\frac {x^{11}}{x^{3}(x^{2})} = \frac {x^{11}}{x^{3+2}} = \frac {x^{11}}{x^{5}} = x^{11-5} = x^{6}$<br /><br />## Step 4: Simplify the fourth expression<br />### $(x^{3})^{4} = x^{3 \cdot 4} = x^{12}$
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