Exponents

Multiplying

100

x∙x∙x∙x

x⁴

200

x ∙x²

x³

300

(a⁴)(a⁵)

a⁹

400

(a²)(a²)(a³)

a7

^{2 + 2 + 3 = 7}

500

b² x b^-4 x b³

b¹

^{2 + (-4) + 3 = 1}

Dividing

100

x³/x²

x

200

x⁴/x^-4

x⁸

300

3³/3⁵

3^-2

400

b¹⁰/b^-2

b¹²

10-(-2)= 12

500

b⁴/b¹³

b^-9

^{4-13 = -9}

Exponent of Exponent

100

(a²)³

a⁶

200

(b³)⁵

b¹⁵

300

(a⁴)³

a¹²

400

a∙(a³)²

a⁷

^{1 + (3x2) = 7}

500

(x⁴)⁴

x¹⁶

Negative Exponents

100

x^-1

1/x

200

x^-2

1/x²

300

express the following with a negative exponent

1/a³ 

a^-3

400

Express the following with a negative exponent

1/3⁵

3^-5

500

Express the following as a fraction

15^-12

1/15¹²

Scientific Method

100

Convert to standard form

3 x 10³

3000

200

Convert to stand form

4.5 x 10²

450

300

Convert to scientific notation

0.03

3 x 10^-2

400

Convert to scientific notation

0.0037

3.7 x10^-3

500

Convert to scientific notation

13455

1.3 x 10⁴