Grade 8 Monomial Product Quotient Power Exponent Rule

Exponent Rules

Product Rule

Multiple Choice

5⁹ ⋅ 5^-1

• 5¹⁰

• 10⁸

• 25⁸

• 5⁸

Multiple Choice

s ⋅ r^-2 ⋅ r^-4 ⋅ s

• s² ⋅ r^-6

• $$\frac{s^2}{r^8}$$

• 
  $$\frac{s^2}{r^6}$$

• 
  $$\frac{2s}{r^6}$$

Quotient Rule

Multiple Choice

$$\frac{m^3n^6}{m^2n^2}$$

• m⁶n¹²

• m⁵n⁸

• mn⁴

• 
  $$\frac{mn^4}{m}$$

Multiple Choice

$$\frac{a^2b^9c^4}{a^9b^3c^4}$$

• a^-7b⁶c

• $$\frac{b^6}{a^7}$$

• $$\frac{b^6c}{a^7}$$

• $$\frac{b^6}{a^{-7}}$$

Multiple Choice

$$\frac{24c^{10}}{8c^3}$$

• 4c⁷

• $$\frac{24c^7}{8}$$

• 3c⁷

• 3c¹³

Multiple Choice

$$\frac{16mn^{-2}}{10m^2n^{-8}}$$

• $$\frac{8m}{5n^6}$$

• $$\frac{16n^6}{10m}$$

• $$\frac{16m}{10n^6}$$

• $$\frac{8n^6}{5m}$$

Power Rule

Multiple Choice

(2⁴)^-2

• 2^-8

• 
  $$\frac{1}{2^8}$$

• 2²

• 2^-6

Multiple Choice

(x^-4y^-2)^-7

• x²⁸y¹⁴

• $$\frac{1}{x^{28}y^{14}}$$

• x^-11y^-9

• $$\frac{1}{x^{11}y^9}$$

Multiple Choice

(-3m^-2n^-5)³

• -27m^-6m^-15

• 
  $$\frac{-9}{m^6n^{15}}$$

• $$\frac{9}{m^6n^{15}}$$

• $$\frac{-27}{m^6n^{15}}$$