Question: EXPONENT RULES TASK CARDS
Problem #6
1 point
6 Simplify.
$\frac{x^{10}}{x^{3}}$
A
$x^{13}$
B
$x^{30}$
C
$x^{7}$
D
$\frac{1}{x^{7}}$
1. **State the problem:** Simplify the expression $$\frac{x^{10}}{x^{3}}$$.
2. **Recall the exponent rule:** When dividing powers with the same base, subtract the exponents: $$\frac{a^{m}}{a^{n}} = a^{m-n}$$.
3. **Apply the rule:**
$$\frac{x^{10}}{x^{3}} = x^{10-3}$$
4. **Simplify the exponent:**
$$x^{7}$$
5. **Interpretation:** The simplified form is $$x^{7}$$, which corresponds to option C.
**Final answer:** $$x^{7}$$