Integer Exponents

Integer Exponents

MA DS PM

Fill in the Blanks

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 Blanks

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 Blanks

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 Blanks

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 Blanks

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.

• $\frac{a^{-2}}{b^{-3}}$

• $\frac{b^3}{a^2}$

• $a^2b^3$

• $ab^6$