PreAlgebra Exponents and Scientific Notation

Powers and Negative Exponents

100

Write the expression using exponents.

x*x^2*2x*x^-1

2x^3

200

Evaluate each expression.

(-4)^3

-64

300

Write each exponent using a positive power.

(-4)^-3

1/((-4)^3)

400

Write each fraction as an expression using negative exponent other -1. Gain double points for two answers if both are correct (one incorrect loses all points).

1/16

4^-2 or 2^-4

500

Evaluate each expression if x=4.

2x^2 - 6x

8

Multiplying and Dividing Exponents

100

Find each product. Express using positive exponents.

m^3*m^6

m^9

200

Find each quotient. Express using positive exponents.

(k^10/k^4)^2

k^12

300

Find each product. Express using positive exponents.

x^8*x^12/x^-3

x^23

400

Find each product. Express using positive exponents.

(5a^-3)(-6a^4)(-a)^2

-30a^3

500

Find each quotient. Express using positive exponents with a single base.

(9^4/9^5) * (3^3/3^5)

1/9^2

Surprise!

100

Write an expression using a positive exponent.

2/5*2/5*2/5*2/5

(2/5)^4

200

Find each quotient. Express using positive exponent.

-(40a^6)/(8a^2)

-5a^4

300

What symbols make the statement true <,>, =?

4.1xx10^5 _ 3.7xx10^5

4.1xx10^5 >3.7xx10^5

400

What symbols make the statement true <,>, =?

-2.8xx10^-1 _ -2.1xx10^1

-2.8xx10^-1 > -2.1xx10^1

500

Order each set  of numbers from least to greatest.

7.35xx10^4, 1.7xx10^-6, 8.26xx10^3, 9.3xx10^-2

1.7xx10^-6, 9.3xx10^-2, 8.26xx10^3, 7.35xx10^4

Scientific Notation

100

Express each number in scientific notation.

5.82 xx 10^3

5820

200

Express each number in scientific notation.

1.1 xx10^-4

0.00011

300

Express each number in scientific notation.

47,000

4.7xx10^4

400

Express each number in scientific notation. 

0.0072

7.2xx10^-3

500

Express each number in scientific notation. 

0.000561

5.61 xx10^-4

Compute with Scientific Notation

100

Evaluate each expression. Express the result in scientific notation.

(4.45xx10^9)(1.3xx10^6)

5.785xx10^15

200

Evaluate each expression. Express the result in scientific notation.

(5.85xx10^5)/(3.9xx10^-6)

1.5xx10^11

300

Evaluate each expression. Express the result in scientific notation.

(2.4xx10^3)/(2xx10^5)

1.2xx10^-2

400

Evaluate each expression. Express the result in scientific notation.

(0.042)(3.15xx10^4)

1.323xx10^3

500

A bank start the day with 2.93x10^4 dollars in the vault. At the end of the day, the bank has 3.5x10^5 dollars in the vault. How much more money is in the vault at the end of the day than there was in the morning? Write your answer in Scientific Notation.

3.207xx10^5 more dollars