Exponent Rules Review Quizizz

Exponent Rules Review Quizizz

Unit 5 Pt. 1

Rule # 1: Multiplying with exponents

• When you multiply exponents with the same variable, add the exponents.

• Example:

   $y^5\times y^3\times y\ =y^9$  

Rule #2: Power of zero

• Anything raised to the power of zero is equal to 1

• Example:

   $b^0=1$   $564^0=1$  

• Watch out for this:  $7y^0=7\cdot1=7$  

Rule #3: Negative exponents

• Your answer cannot have a negative exponent; you must move it to the other side of a fraction to turn it into a positive exponent

•  $x^{-4}=\frac{1}{x^4}$  

  
  

•  $\frac{6}{y^{-9}}=6y^9$  

Rule #4: Dividing with exponents

• When dividing (looks like a fraction) exponents with the same base, subtract the exponents

•  $\frac{x^8}{x^2}=x^6$  

• Don't forget to divide the coefficients: $\frac{20x^9y}{4x^6y}=5x^3y^0=5x^3$  

Rule #5: Raising a power to a power

• When raising an exponent to the power of another exponent, multiply the exponents

•  $\left(q^2\right)^4=q^8$  

• When there is a coefficient, raise it to the power:  $\left(3x^5\right)^3=3^3x^{15}=27x^{15}$  

Multiple Choice

 $\left(5x^2y^4\right)^3$  

•  $125x^6y^{12}$  

•  $15x^6y^{12}$  

•  $8x^5y^7$  

•  $15x^5y^7$  

Multiple Choice

 $b^3\cdot b^4\cdot b^7\cdot b$  

•  $b^{15}$  

•  $b^{14}$  

•  $b^{84}$  

•  $b^{49}$  

Multiple Choice

 $\frac{9a^3b^5}{-3ab^2}$  

•  $-3a^2b^3$  

•  $6a^2b^3$  

•  $3a^3b^3$  

•  $-\frac{1}{3}a^2b^3$  

Multiple Choice

 $7^0$  

• 1

• 7

• 0

• 70

Multiple Choice

 $\frac{xy^7}{x^3y^4}$  

•  $\frac{y^3}{x^2}$  

•  $x^2y^3$  

•  $\frac{x^2}{y^3}$  

•  $\frac{y^3}{x^3}$  

Multiple Choice

 $\left(7xy\right)^2$  

•  $49x^2y^2$  

•  $14x^2y^2$  

•  $49x^3y^3$  

•  $14x^3y^3$  

Multiple Choice

 $\left(6x^2\right)\left(3x^{-5}\right)$  

•  $\frac{18}{x^{10}}$  

•  $18x^3$  

•  $\frac{18}{x^3}$  

•  $\frac{1}{18x^3}$  

Multiple Choice

 $8x^0$  

• 8

• 1

• 0

• x

Multiple Choice

 $\left(\frac{3m^2n^7}{m}\right)^5$  

•  $243m^5n^{35}$  

•  $15m^{10}n^{35}$  

•  $\frac{243n^{35}}{m^5}$  

•  $15m^5n^{35}$  

Multiple Choice

 $6x^5\cdot3x^5\cdot x^0$  

•  $18x^{10}$  

•  $9x^{10}$  

•  $18x^{25}$  

•  $9x^{25}$