Exponents

When I multiply like bases I ____________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Simplify  $\left(\frac{2x}{3}\right)^3$  

•  $\frac{8x^3}{27}$  

•  $\frac{2^3x^3}{9}$  

•  $\frac{8x^3}{9}$  

•  $\frac{8x^3}{3}$  

 $10^0=$  

• 10

• 0

• 1

• I don't know

When I use the Power of a Power rule, I _______________ the exponents.

• Add

• Subtract

• Multiply

• Divide

When I divide like bases I ______________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Select the number for x that completes the following expression.  $3^x\cdot3^{10}=3^{30}$  

• 3

• 12

• 15

• 20

Select the equivalent expression to  $\left(x^4y^3\right)^3$  

•  $x^7y^6$  

•  $x^{12}y^6$  

•  $x^{12}y^9$  

•  $x^7y^9$  

Write an equivalent expression to  $a^{-4}$  using positive exponents.

•  $a^4$  

•  $\frac{1}{4^a}$  

•  $\frac{1}{a^4}$  

•  $\frac{a}{4}$  

Simplify the following expression.  $\left(2x^2y^3z\right)^3$  

•  $8x^5y^9z^4$  

•  $2^3x^9y^9z^9$  

•  $8^3x^9y^9z^3$  

•  $8x^9y^9z^3$  

Simplify the following expression.   $\frac{2^2}{2^5}$  

•  $2^7$  

•  $2^3$  

•  $\frac{1}{8}$  

•  $2^{-3}$