Simplify $\dfrac{x^{a} \cdot x^{b}}{x^{c}}$ for $x
e 0$.

Question

Simplify $\dfrac{x^{a} \cdot x^{b}}{x^{c}}$ for $x 
e 0$.

Accepted Answer

B. $x^{a + b - c}$

Product rule: $x^{a} \cdot x^{b} = x^{a+b}$. Quotient rule: $\dfrac{x^{a+b}}{x^{c}} = x^{a+b-c}$.
- Trap A adds all exponents (forgets the quotient sign).
- Trap C/D confuse addition/multiplication of exponents.

Answer

$x^{a \cdot b - c}$

Answer

$x^{abc}$

Answer

$x^{a + b + c}$

Simplify $\dfrac{x^{a} \cdot x^{b}}{x^{c}}$ for $x \ne 0$.