Exponent Rules and Scientific Notation edited by Trompke

Product of Powers

100

Finish the statement:

a^m * a^n

 = ?

a^{(m + n)} 

200

Simplify the product:

3^7 * 3^-3

  = ?

3^4

300

Simplify the Expression.

(1/2)^2 * (1/2)^8 * (1/2)^4

 = ?

(1/2)¹⁴

400

Simplify the expression : 

10^-4 * 10^-5

1/10^9 or 10^-9

500

Simplify the expression:

d^2y^-3 * dy^6

d^3y^3

Quotient of Powers

100

Complete the Statement: a^m / aⁿ = ?

What is a^{(m - n)}

200

Simplify the Expression: 3⁵ / 3² = ?

What is 3³

300

Simplify:

y^2/y^4

 = ?

1/y^2 or y^-2

400

Simplify the expression:

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

 

6^0 = 1

500

Simplify:

(8w^3)/(2w^-2

(4w^5)

More Exponent Properties

100

Simplify. 

(6^2)^5

6^10

200

Rewrite using negative exponent rules. 

x^-7

1/x^7

300

(x^3y^4)^3

x^9y^12

400

(8^-4)^-2

8^8

500

Simplify. 

(4^6)^-3

4^-18

Scientific Notation

100

Write 93,000,000 in scientific form.

9.3*10^7

200

When writing numbers in scientific notation, the absolute value of the factor out front must be  _______to________.

What is one and nine.

300

Write the number in standard form: 5.8 x 10⁷

What is 58,000,000

400

Write the number in scientific notation: 0.0000324 

What is 3.24 x 10^-5

500

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

What is 9.65432 x 10⁸

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. (2.0 x 10^-12) * (4.0 x 10⁷) = ??

What is (8 x 10^-5) 

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)

1.5 times 10^7

500

There are 2,000,000 teenagers that each spend $400. How much do they spend in total?  write your answer in scientific notation. 

(2 * 10⁶) * (4* 10²)=

8 *10^{8 or} $ 800,000,000