Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.
-$x^{1 / 7} \cdot x^{6 / 7}$

A) $\frac{1}{x}$

B) $x^{6 / 49}$

C) $x$

D) $x^{6 / 7}$

Question

Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.
-$x^{1 / 7} \cdot x^{6 / 7}$

A) $\frac{1}{x}$

B) $x^{6 / 49}$

C) $x$

D) $x^{6 / 7}$

Quizplus · Accepted Answer

When multiplying expressions with the same base, you add the exponents. So, $x^{1/7} \cdot x^{6/7} = x^{(1/7 + 6/7)} = x^{7/7} = x^1 = x$.

Use the Rules of Exponents to Simplify the Expression x1/7⋅x6/7x^{1 / 7} \cdot x^{6 / 7}x1/7⋅x6/7

Use the Rules of Exponents to Simplify the Expression $x^{1 / 7} \cdot x^{6 / 7}$