Exponents and Scientific Notation

Rules for Exponents

100

What rule would you use to solve this

x²/x⁶

Quotient Rule

200

What rule would you use to solve this

(y⁵)⁴

Power Rule

300

What rule would you use to solve this

y⁶y³x²

Product Rule

400

When using the Power Rule, you ________ your exponents. 

multiply

500

When using the product rule and quotient rule, you must have the _____ bases. 

same

Simplifying Exponents

100

(2x⁴)²

4x⁸

200

Write using an exponent

(9)(9)(9)(9)(9)

(9)⁵

300

x⁴y³x⁷

x¹¹y³

400

x⁷x³/x⁴

x⁶

500

(x⁵)³x⁴

x¹⁹

Simplifying negative exponents

100

x^-5

1/x⁵

200

x⁶/x¹²

1/x⁶

300

3x⁷x^-2/9x²

x³/3 

400

y^-3x⁵/x²

x³/y³

500

2/x^-6

2x⁶

Scientific Notation

100

Do not approximate. 

235,000,000

2.35 x 10⁸

200

Do not approximate. 

0.0007006

7.006 x 10^-4

300

Do not approximate. 

56,000

5.6 x 10⁴

400

Do not approximate. 

0.0000067

6.7 x 10^-6

500

Do not approximate. 

745,200,000 

7.452 x 10⁸

Operations with Scientific Notation

100

3(2 x 10⁴)

6 x 10⁴

200

(5 x 10^-2)+(4 x 10^-2)

9 x 10^-2

300

Find the product. Write your answer in scientific notation. 

(5 x 10⁴) x (9 x 10⁴)

4.5 x 10⁹

400

Find the quotient. Write your answer in scientific notation. 

(3.6 x 10^-5) divided by (1.5 x 10³)

2.4 x 10^-8

500

Compare the statements with < or >

5.4 x 10^-3 _____ 5.6 x 10^-4

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