MS - Unit 7 Test - Exponents

 $\frac{x^4y^5}{xy^3}$  Which exponent properties(rule) would I use to simplify this problem.

• The Product Rule

• The Quotient Rule

• The Power to a Power Rule

• Negative Exponent Rule

 $4a^3\cdot4a^2$  Simplify.

•  $4a^5$  

•  $4a^6$  

•  $16a^6$  

•  $16a^5$  

 $3n^0\cdot4n^2$  Simplify.

•  $12n^2$  

•  $4n^2$  
  

•  $7n^2$  

•  $7n^3$  

According to the Power to a Power rule, when a base with an exponent is raised to another exponent we ________________.

• add the exponents.

• multiply the exponents.

• subtract the exponents.

• divide the exponents.

 $\frac{-6a^2b^0c^4}{\left(a^2b^3\right)^5}$  Simplify.

•  $\frac{-6a^8c^4}{b^{15}}$  

•  $-\frac{6c^4}{a^8b^{15}}$  

•  $-\frac{3c^4}{a^8b^{15}}$  

•  $-\frac{6c^4}{a^8b^{14}}$  

 $\left(-3x^3y^0z^5\right)^0$  Simplify.

• -3

• 1

• 0

•  $-3x^3z^5$  

 $7m^2\cdot m\cdot n^3p\cdot n^5p^2$  Simplify.

•  $7m^3n^8p^3$  

•  $7mn^2p$  

•  $7m^2n^{15}p^2$  

 $\frac{8a^{-2}b^{-1}}{8ab^4\cdot3a^4}$  

•  $\frac{1}{24a^3b^3}$  

•  $3a^7b^5$  

•  $\frac{1}{3a^7b^5}$  

•  $\frac{a^{-7}b^{-5}}{3}$  

Which procedure will change a negative exponent into a positive exponent?

• Multiply the exponent by it's opposite.

• Take the reciprocal of the base and rewrite the exponent as positive.

• Move the negative to the base number.

• Make the exponent a fraction.

 $\frac{xy^{-2}x^{-5}y^5}{\left(2x^4y^2\right)^4}$  

•  $\frac{1}{16x^{20}y^5}$  

•  $\frac{1}{2x^{20}y^5}$  

•  $16x^{20}y^5$  

•  $2x^{20}y^5$