Exponents/Sci Not

Exponent Rules

100

Answer for a zero exponent

What is 1?

200

Do this to exponents when multiplying with the same base

What is Add?

300

Do this to exponents when raising one exponent to another exponent

What is multiply?

400

Do this to exponents when dividing with the same base

What is subtract?

500

Create this when changing negative exponents into positive exponents 

What is a fraction?

Multiplication/Division

100

x⁴  * x³

What is x⁷

200

a⁵ * a⁶ * a

What is a¹² ?

300

14⁷ / 14³

What is 14⁴ ?

400

x²y³ * x⁴y²

What is x⁶y⁵ ?

500

j⁶k⁴ / j²k

What is j⁴k³ ?

Simplifying Exponents

100

114⁰

What is 1?

200

(r⁴ )³

What is r¹²

300

d^-2

What is 1/d² ?

400

(k^-7)^-3

What is k²¹ ?

500

(p³)^-2  (using only positive exponents)

What is 1/p⁶ ?

Scientific/Standard Notation

100

45,000 in scientific notation

What is 4.5 x 10⁴ ?

200

3.7 x 10^-4 in standard notation

What is .00037 ?

300

.00409 in scientific notation

What is 4.09 x 10^-3 ?

400

5 x 10⁷ in standard notation (commas required)

What is 50,000,000 ?

500

45.8 x 10⁷ in proper scientific notation

What is 4.58 x 10⁸ ?

Operations Scientific Notation

100

(4.6 x 10⁶) + (2.8 x 10⁶)

What is 7.4 x 10⁶ ?

200

(7.04 x 10^-5) - (4.3 x 10^-5)

What is 2.74 x 10^-5 ?

300

(2.4 x 10⁵) * (3.5 x 10³)

What is 8.4 x 10⁸ ?

400

(8.06 x 10⁹) / (2.6 x 10⁵)

What is 3.1 x 10⁴ ?

500

(6.03 x 10⁵) * (4.2 x 10³) 

Proper Form Required!

What is 2.5326 x 10⁹