Exponents

Laws of Exponents

100

x^a + x^b = _______________

x^a+b

200

x^a/x^b  = ____________________

x^{a - b}

300

(x^a)^b = _________________________

x^ab

400

(xy)^a = ___________________

x^ay^a

500

(x/y)^a = ______________

x^a/y^a

Scientific Notation

100

Express 30,000,000 in scientific notation

3 x 10⁷

200

Express 0.00000345 in scientific notation

3.45 x 10^-6

300

Express 123 x 10^-5 in scientific notation

1.23 x 10^-3

400

Express 0.0039 x 10² in scientific notation

3.9 x 10^-1

500

How is 12 trillion written in scientific notation?

12 x 10¹³

Exponent Operations 1

100

5⁶ + 5⁹

5¹⁴

200

Evaluate 6^-2

1/36

300

Evaluate (6 + x)³

216 + x³

400

Solve for x : 1/36 = 6^x

6^-2

500

8 x 10² / 4 x 10^-3

2 x 10⁵

Exponent Operations 2

100

- 6^-1

-1/6

200

Evaluate (6/x)² 

36/x²

300

Write 2^-10/12^-10 as a power of 6

6¹⁰

400

Evaluate (7x/y⁷)²

49x²/y¹⁴

500

x^-5/x^-15

x¹⁰

Wild

100

What exponent makes any number equal to 1

0

200

1/x^a = x^?

x^-a

300

What are Mrs. Callen's kids' names?

Rush, Cooper, Emmaline :)

400

What is the special name for the number 10¹⁰⁰?

googol

500

How many miles is 1.056 x 10⁴ ft?

2 miles