Use Properties of Integer Exponents

Integer Exponents

MA DS PM

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.

• $$2^2\times2^3$$

• $$2\times2\times2\times2\times2$$

• $$2^6$$

• $$2^5$$

• $$2^4\times2^{ }$$

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.

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

• $$a\times a\times a\times a$$

• $$a^3$$

• $$a\times a\times a$$

• $$\frac{a^7}{a^4}$$

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.

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

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.

• $$\frac{a^{-2}}{b^{-3}}$$

• $$\frac{b^3}{a^2}$$

• $$a^2b^3$$

• $$ab^6$$