Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.
-$6 x^{6 / 5}\left(x^{11 / 5}-2 x\right)$

A) $\frac{6}{x^{17 / 5}}-12 x^{11 / 5}$

B) $\frac{6}{x^{17 / 5}}-\frac{12}{x^{11 / 5}}$

C) $6 x^{17 / 5}-\frac{12}{x^{11 / 5}}$

D) $6 x^{17 / 5}-12 x^{11 / 5}$

Question

Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.
-$6 x^{6 / 5}\left(x^{11 / 5}-2 x\right)$

A) $\frac{6}{x^{17 / 5}}-12 x^{11 / 5}$

B) $\frac{6}{x^{17 / 5}}-\frac{12}{x^{11 / 5}}$

C) $6 x^{17 / 5}-\frac{12}{x^{11 / 5}}$

D) $6 x^{17 / 5}-12 x^{11 / 5}$

Quizplus · Accepted Answer

To simplify the expression, distribute $6 x^{6 / 5}$ across the terms inside the parentheses. For the first term, add the exponents: $6 / 5 + 11 / 5 = 17 / 5$, resulting in $6 x^{17 / 5}$. For the second term, $6 x^{6 / 5} \cdot 2 x = 12 x^{6 / 5 + 1} = 12 x^{11 / 5}$. Thus, the simplified expression is $6 x^{17 / 5}-12 x^{11 / 5}$.

Use the Rules of Exponents to Simplify the Expression 6x6/5(x11/5−2x)6 x^{6 / 5}\left(x^{11 / 5}-2 x\right)6x6/5(x11/5−2x)

Use the Rules of Exponents to Simplify the Expression $6 x^{6 / 5}\left(x^{11 / 5}-2 x\right)$