Exponents and Scientific Notation

Positive and Zero Exponents

100

Write the expression using exponents.

x*x*x

x^3

200

What is another way to write 

b^1

b

300

Simplify 

y^0

1

400

Write an expression using a positive exponent.

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

(2/5)^4

500

Simplify 

(-9)^0

1

Negative Exponents

100

Simplify 

b^-2

1/b^2

200

Simplify 

1/a^-5

a^5

300

Simplify 

-5x^-2y^3

(-5y^3)/x^2

400

Simplify 

(4a^8)/(b^-4c^2)

(4a^8b^4)/c^2

500

Simplify 

(2w^-1x^4)/(y^-4z^-2)

(2x^4y^4z^2)/w

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

Measurements with Scientific Notation

100

The Great Wall of China is this many miles long. How many miles is that?

1.3171 xx 10^4 

13,171 mi

200

1 foot is equal to 0.000189394 miles. What is that in scientific notation?

1.89394 xx 10^-4

300

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

4.1xx10^5 _ 3.7xx10^5

4.1xx10^5 >3.7xx10^5

400

Which weighs more: a proton or an electron? 

1.67xx10^-24 grams or 9.11xx10^-28 grams

A proton at 

1.67xx10^-24 grams

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

Multiplying Exponents

100

Find each product. Express using positive exponents.

m^3*m^6

m^9

200

Find each product. Express using positive exponents.

x^8*x

x^9

300

Find each product. Express using positive exponents. 

a^8*a^-3

a^5

400

Find each product. Express using positive exponents. 

c*c^-5

1/c^4

500

Evaluate each expression. Express the result in scientific notation.

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

5.785xx10^15