# Grade 9 Math: Linear Relations and Equations Quotient Rule for Exponents

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### What are the two conditions of the Quotient Rule?

The powers are being divided. The bases are different.
The powers are being divided. The bases are the same.
The powers are being multiplied. The bases are the same.
The powers are being subtracted. The bases are different.

### Simplify the expression and show it in the form of $$x^{n}$$ $$\frac{x\times x\times x\times x\times x\times x\times x}{x\times x\times x}$$

$$x^{3}$$
$$x^{4}$$
$$x^{5}$$
$$x^{6}$$

### Simplify the expression and show it in the form of $$x^{n}$$ $$x^{13}\div x^8+x^4\div x^2$$

$$x^5+x^2$$
$$x^{28}+x^2$$
$$x^{30}$$
none of the above

### Simplify the following expression: $$n^{15}\times n^3\div n^8\times n\times n^4$$

$$n^{15}$$
$$n^{13}$$
$$n^{12}$$
$$n^{10}$$
### Simplify the following expression: $$x^{21}\times x^{3}+x^{13}\div x^4+x^{32}\div x^{15}+x^3$$
$$x^{53}$$
$$x^{24}+x^{9}+x^{20}$$
$$x^{15}+x^{9}+x^{17}+x^{3}$$
$$x^{24}+x^{9}+x^{17}+x^{3}$$