Integer Exponents

Integer Exponents

MA DS PM

Fill in the Blank

When multiplying integers with the same base you ___ the exponents.

Multiple Choice

Simplify.

 $3^7\times3^3$  

•  $9^{10}$  

•  $3^{21}$  

•  $3^{10}$  

Multiple Select

Which of the following are equivalent?

Choose ALL that apply.

• $2^2\times2^3$

• $2\times2\times2\times2\times2$

• $2^6$

• $2^5$

• $2^4\times2^{ }$

Fill in the Blank

When dividing integers with the same base, you ________ the exponents.

Multiple Choice

Simplify.

 $\frac{7^5}{7^2}$  

•  $7^3$  

•  $7^{10}$  

•  $7^7$  

Multiple Select

Which of the following are equivalent?

Choose ALL that apply.

•  $\frac{a\times a\times a\times a\times a\times a\times a}{a\times a\times a\times a}$ 

•  $a\times a\times a\times a$ 

•  $a^3$ 

•  $a\times a\times a$ 

•  $\frac{a^7}{a^4}$ 

Fill in the Blank

When raising a power to a power with the same base, you ________ the exponents.

Multiple Choice

Simplify.

 $\left(4^9\right)^2$  

•  $4^{11}$  

•  $4^7$  

•  $4^{18}$  

Multiple Select

Which of the following are equivalent?

Choose ALL that apply.

•  $\left(9^2\right)^6$ 

•  $\left(9^3\right)^4$ 

•  $9^7$ 

•  $9^{12}$ 

•  $9^2\times9^2\times9^2\times9^2\times9^2\times9^2$ 

Zero Property

Any number raised to the zero power equals one.

Fill in the Blank

Any number raised to the zero power equals ___.

Multiple Choice

Solve.

 $315^0$  

• 315

• 1

• 0

Multiple Select

Which of the following are equivalent?

Choose ALL that apply.

• $1\times0$

• $3^0$

• 1

• $\left(19^0\right)^5$

• $-63^0$

Negative Exponents

• Very small number

• Base & Exponent shift to the opposite side of fraction bar

• Make all negative exponents positive by shifting to the opposite sides of the fraction bar

Fill in the Blank

Make all Negative Exponents ________ by shifting to the opposite side of the fraction bar.

Multiple Choice

Solve.

 $b^{-5}$  

•  $\frac{1}{b^5}$  
  

•  $\frac{b}{1^5}$  
  

Multiple Select

Which of the following are equivalent?

Choose all that apply.

• $\frac{a^{-2}}{b^{-3}}$

• $\frac{b^3}{a^2}$

• $a^2b^3$

• $ab^6$