Exponent Rules and Scientific Notation

Al Hilal

1

Finish the statement:

a^m * a^n

 = ?

a^{(m + n)} 

2

Simplify the product:

3^7 * 3^-3

  = ?

3^4

3

Simplify the Expression.

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

 = ?

(1/2)¹⁴

4

Simplify the expression using only positive exponents: 

10^-4 * 10^-5

1/10^9

5

Rewrite the expression using only positive exponents:

d^2y^-3 * d^-4y^2 * dy^6

y^5/d

Al Nassr

1

Complete the Statement: a^m / aⁿ = ?

a^{(m - n)}

2

Simplify the Expression: 3⁵ / 3² = ?

3³

3

Simplify using only positive exponents:

y^2/y^4

 = ?

1/y^2

4

Simplify the expression using only positive exponents:

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

 

6^0 = 1

5

Simplify using only positive exponents in your answer:

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

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

Al Ittihad

1

Simplify. 

(6^2)^5

6^10

2

Simplify. 

x^-7

1/x^7

3

(7x^3y^4)^3

7^3x^9y^12

4

(8^-4)^-2

8^8

5

Simplify. 

(4^6)^-3

1/4^18

Al Ahli

1

Numbers in scientific notation can be written in expanded form and ____________ form.

standard form

2

True or False: 0.12122122212222 is a repeating decimal

False

3

Write the number in standard form: 5.8 x 10⁷

58,000,000.0

4

TRUE or FALSE: The number 4 is ONLY a natural number.

False

5

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

9.65432 x 10¹⁴

Al Qadisiya

1

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

< (less than)

2

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

(3.6 x 10^-6) 

3

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

(1.2 x 10⁸)

4

Perform the calculation. Write your answer in calculator notation. 

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

1.5 times 10^7

5

Simplify the expression and write your answer in scientific notation. 

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

3.47 times 10^5