Scientific Notation, Exponents and Square/Cube Roots

Unit 1 Review

Exponents

Scientific Notation

Square and Cube Roots

Multiple Choice

Which is the correct way to write 7*7*7*7*7*7 in exponential form?

•  $7^7$  

•  $7^6$  

•  $6^7$  

Multiple Choice

 $12^5$  , which number is the base and which number is the exponent?

• 12 is the exponent and 5 is the base.

• 12 is the base and 5 is the exponent.

• 12 and 5 are both the bases.

• 12 and 5 are both the exponents.

Multiple Choice

Using the product rule, what is the correct answer?

 $5^2\times5^{-3}\times5^2$  

•  $5^7$  

•  $5^5$  

•  $5^1$  

Multiple Choice

Solve.

 $3\times3^4$  

•  $3^4$  

•  $3^5$  

•  $3^3$  

Multiple Choice

Using the quotient rule, what does  $\frac{5^9}{5^{-3}}$  equal?

•  $5^{12}$  

•  $5^6$  

Multiple Choice

Solve.

 $\frac{6^{-5}}{6^{-9}}$  

•  $6^4$  

•  $6^{14}$  

•  $6^{-14}$  

Multiple Choice

Using the product rule, what does  $\left(x^5\right)^{10}$  equal?

•  $x^{15}$  

•  $x^{-5}$  

•  $x^5$  

•  $x^{50}$  

Multiple Choice

Solve.

 $\left(3x^2\right)^2$  

•  $3x^4$  

•  $3^2x^4$  

•  $6x^4$  

Multiple Choice

What does

 $2,321^0$  equal?

• 2,321

• 0

• 1

Multiple Choice

Solve.

 $1^0$  

• 0

• 1

• 2

• -1

Multiple Choice

Which of the following is the correct way to use the Power of Products exponent property for the following problem:

 $4^2\times5^2$  

•  $9^2$  

•  $9^4$  

•  $20^2$  

•  $20^4$  

Multiple Choice

Using the Negative Exponent Property, what is the correct way to show  $5^{-3}$  ?

•  $5^3$  

•  $\frac{1}{5^{-3}}$  

•  $\frac{1}{5^3}$  

Multiple Choice

Which of the following is the correct way to write 3,200,000,000 in Scientific Notation?

• $32\times10^8$

• $32\times10^9$

• $3.2\times10^8$

• $3.2\ \times10^9$

Multiple Choice

Which of the following is

 $1.764\times10^5$  in standard form?

• 176,400,000

• 0.000001764

• 176,400

• 0.00001764

Multiple Choice

Which of the following is 0.000000156 in Scientific Notation?

• $1.56\ \times10^6$

• $1.56\times10^{-6}$

• $15.6\times10^5$

• $1.56\times10^{-7}$

Multiple Choice

 $1.45\times10^{-6}$  , what direction and how many spaces are you moving the decimal?

• Move right six spaces

• Move left six spaces.

Multiple Choice

What does  $11^2$  equal?

• 22

• 121

Multiple Choice

Solve for x, when

 $x^2=100$  

• 10
  

• 50

• 25

Multiple Choice

What does  $5^3$  equal?

• 15

• 25

• 125

• 53

Multiple Choice

Solve  $3\sqrt{512}$  

• 170.7

• 8