Exponents and Scientific Notation

Exponents

100

Write (-4) • (-4) • (-4) • (-4) • y • y • y using exponents.

(-4)⁴y³

200

Evaluate the expression 4³

64

300

Write (1/5) • (1/5) • (1/5) • x • x • x • x • x using exponents.

(1/5)³x⁵

400

Evaluate the expression. 4 + 3³ ÷ 9

7

500

Evaluate the expression. 5³ ÷ 5 - 12

13

Properties of Exponents

100

Simplify the expression p⁵ • p²

p⁷

200

Simplify the expression. (5y)²

25y²

300

Simplify (n¹⁰)⁴

n⁴⁰

400

Simplify 5³ • 5⁹ / 5²

5¹⁰

500

Simplify the expression (6c⁴)² / c

36c⁷

Zero and Negative Exponents

100

Evaluate the expression 2^-4

1/16

200

Evaluate the expression 37⁰

1

300

Evaluate 8² / 8⁴

1/64

400

Evaluate the expression 1/7⁹ • 1/7^-6

1/343

500

Evaluate the expression 9⁴ • 9^-2 / 9²

1

Scientific Notation

100

Is this number written in scientific notation? Why?    2 x 10^-6

yes, because the coefficient is a number that is greater than or equal to one and less than 10.  and the coefficient is multiplying to a power of 10.

200

Write the number in standard form. 3.4 x 10^-2

0.034

300

Write the number in scientific notation. 79,200,000

7.92 x 10⁷

400

Write the number in scientific notation. 0.00036

3.6 x 10^-4

500

Change the following number so that it is written properly in scientific notation. 367 x 10^-4

3.67 x 10^-2

Operations in Scientific Notation

100

Evaluate the expression. Write your answer in scientific notation. (7.7 x 10⁸) X (4.9 x 10^-5)

3.773 x 10⁴

200

Evaluate the expression. Write your answer in scientific notation. (9 x 10⁵) ÷ (4.5 x 10⁹)

2 x 10^-4

300

Evaluate the expression. Write your answer in scientific notation. (5.9 x 10^-4) - (1.8 x 10^-4)

4.1 x 10^-4

400

Evaluate the expression. Write your answer in scientific notation. (4.2 x 10⁸) + (5.9 x 10⁹)

6.32 x 10⁹

500

A rectangular table located in the office has a length of 2.24 x 10³ mm and a width of 1.54 x 10² mm. Find the area of the table top. Write your answer in scientific notation.

3.4496 x 10⁵