Exponents & Scientific Notation

Vocabulary

100

the definition of BASE

the number that is being multiplied to itself

200

the definition of EXPONENT

number that tells how many times the base is multiplied by itself

300

the multiplication rule states

keep the bases, add the exponents

400

the division rule states

keep the base and subtract the exponents

500

the power of a power rule means

my power (base & exponent) is raised to another power (my exponent has an exponent)

Exponent Rules

100

10³ x 10 ⁷

10¹⁰

200

6⁹ / 6⁶

6³

300

(7⁵)⁶

7³⁰

400

8⁰

1

500

5^-8

1/5⁸

Exponent Rules 2

100

5⁷ x 5⁶

5¹³

200

13⁰

1

300

(2 x 3)⁴

2⁴ x 3⁴

400

13^-7

1/13⁷

500

5² x 5⁸ / 5⁶

5⁴

Scientific Notation

100

write 6,980,000 in scientific notation

6.98 x 10⁶

200

write 75,400 in scientific notation

7.54 x 10⁴

300

write .00000098 in scientific notation

9.8 x 10^-7

400

write 1,850,000 in scientific notation

1.85 x 10⁶

500

write .000634 in scientific 

6.34 x 10⁴

Random

100

What are the school expectations?

Respectful

Responsible

Empowered

200

Write 8³ in expanded form

Respect others

Respect yourself

300

Evaluate (3²)⁵

3¹⁰ or 59,049

400

2⁰+3²

9

500

Solve the following equation

3x+2=5(x-7)

x=17.5