Exponent Rules and Scientific Notation

Product of Powers

100

Finish the statement:

a^2 * a^3

 = ?

a⁽⁵⁾ 

200

Simplify the product:

3^7 * 3^-3

  = ?

3^4

300

Simplify the Expression.

(2)^2 * (2)^8 * (2)^4

 = ?

(2)¹⁴

400

Simplify the expression using only positive exponents: 

(10^2)^3

10^6

500

Rewrite the expression using only positive exponents:

(4x^3)^2

16x^6

Quotient of Powers

100

Complete the Statement: a⁵ / a³ = ?

What is a⁽²⁾

200

Simplify the Expression: 3⁵ / 3² = ?

What is 3³

300

Simplify using only positive exponents:

y^2/y^4

 = ?

1/y^2

400

Simplify the expression using only positive exponents:

(6^12 * 6^2)/6^14

 

6^0 = 1

500

Simplify using only positive exponents in your answer:

(8w^3x^4)/(2w^-2x^6)

(4w^5)/(x^2)

Scientific Notation

100

Is this scientific notation?

32.5 x 10³

No, only one digit allowed!

200

What is 10^-4

0.0001

300

Write the number in standard form: 5.8 x 10⁷

What is 58,000,000.0

400

Write the number in scientific notation: 0.0000000000324 = ??

What is 3.24 x 10^-11

500

Write the number in scientific notation: 965,432,000,000,000 miles =

What is 9.65432 x 10¹⁴

Calculations in Scientific Notation

100

Complete the statement using < , > , or =. (6.4 x 10⁵) ____ (3.9 x 10⁷)

What is < (less than)

200

Perform the operation. Express your answer in scientific notation. (9.0 x 10^-12) * (4.0 x 10⁷) = ??

What is (3.6 x 10^-6) 

300

Perform the Calculation. Write you answer in scientific notation. (2.4 x 10⁵) / (2.0 x 10^-3) = ??

What is (1.2 x 10⁸)

400

Perform the calculation. Write your answer in calculator notation. 

(4.7 times 10^7)(3.2 times 10^7)

1.504 times 10^15

500

Simplify the expression and write your answer in scientific notation. 

(2.9 times 10^5)(5.7 times 10^-4)

1.653 times 10^2