Exponent Rules

Exponent Rules

Multiple Choice

When multiplying terms with the same base, you should ____ the exponents.

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

 $x^3\cdot x^4\ =$  

•  $x^{12\ }$  

•  $x^{-1}$  

•  $x^7$  

•  $x^{34}$  

Multiple Choice

 $m^2\cdot m^6\cdot m=$  

•  $m^8$  

•  $m^{12}$  

•  $m^4$  

•  $m^9$  

Multiple Choice

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

• Add

• Subract

• Multiply

• Divide

Multiple Choice

 $\frac{a^5b^{10}}{a^3b^6}=$  

•  $a^8b^{16}$  

•  $a^2b^4$  

•  $a^{15}b^{60}$  

•  $a^2b^{16}$  

Multiple Choice

 $\frac{x^{17}}{x^8}$  

•  $x^9$  

•  $x^{25}$  

•  $x^{-9}$  

•  $x^{-25}$  

Multiple Choice

 $\frac{x^9}{x^4}$  =

•  $x^{13}$  

•  $x^{36}$  

•  $x^5$  

•  $x^{-5}$  

Multiple Choice

 $\frac{9x^2}{3x^{ }}=$  

•  $3x^2$  

•  $3x$ 

•  $9x$  

•  $6x$  

Multiple Choice

Any base to the power of 0 simplifies to _______

• 0

• 1

Multiple Choice

 $y^0=$  

• y

• 0

• 1

• 10

Multiple Choice

Simplify the following expression:

(xyz)⁰ =

• 0

• 1

• xyz

• -1

Multiple Choice

 $x^{-5}$  =

•  $\frac{1}{x^{-5}}$  

•  $\frac{1}{x^5}$  

•  $\frac{x^5}{1}$  

•  $\frac{x^{-5}}{1}$  

Multiple Choice

Rewrite using positive exponents

• 2⁴

• 1/2⁴

• 4²

• 1/4²

Multiple Choice

Simplify the expression

• x⁵

• 1/x⁵

• x¹³

• 1/x¹³

Multiple Choice

According to exponent rules, when we raise the power to a power we _______ the exponents.

Example: (d²)⁵

• add

• subtract

• multiply

• divide

Multiple Choice

 $\left(x^7\right)^2$  =

•  $x^{14}$  

•  $x^9$  

•  $x^5$  

•  $2x^7$  

Multiple Choice

(2⁸)²

• 2¹⁶

• 2¹⁰

• 2⁶

• 2⁴

Multiple Choice

 $\left(ab^2\right)^8$  =

•  $ab^{16}$  

•  $a^8b^{16}$  

•  $a^9b^{10}$  

•  $ab^{10}$  

Multiple Choice

 $\left(a^3b^5\right)^7$  =

•  $a^3b^{35}$  

•  $a^{10}b^{12}$  

•  $a^8b^8$  

•  $a^{21}b^{35}$  

Multiple Choice

 $\left(\frac{xy^3}{z^4}\right)^2$  

•  $\frac{xy^6}{z^8}$  

•  $\frac{x^2y^9}{z^{16}}$  

•  $\frac{x^2y^6}{z^8}$  

•  $\frac{xy^9}{z^{16}}$  

Multiple Choice

 $\left(\frac{2}{5}\right)^2$  

•  $\frac{1}{4}$  

•  $\frac{4}{25}$  

•  $\frac{4}{10}$  

•  $\frac{2}{13}$