Exponents in Action

If a tank weighs 5x10^3 pounds, how much would 10^5 tanks weigh?

If Coca Cola produces
10^8 bottles of coke in a month, how many would it produce in 10^5 months?

Your yard has 10^4 fleas today and each flea lays 10^3 eggs. Now how many fleas?

Simplify multiplication of exponents:

• 10^4 x 10^2 =
• 2^3 x 2^5 =
• 6^2 x 6^4 =
• Look at your formula sheet. How does it write multiplication of powers?

10^4 people attend a concert on 10 acres. How many people per acre were there?

Donald Trump got 5^8 followers on Twitter in 5^2 months. How many followers per month is that?

A coin machine wraps
20^5 pennies in 20^2 hours. What is the rate?

Simplify division of exponents:

• 12^3 / 12^2 =
• 3^5 / 3^2 =
• x^17 / x^4 =
• y^6 / y^-1 =
• Look at your formula sheet. What does it say for division of powers?

2^3 Monarchs visit your garden daily. Your neighbor's yard attracts that many squared. How many is that?

Eagles are making a comeback. 10^3 exist today and that # is expected to cube in 20 years. How many will that be?

Simplify powers of powers:

• (2^2)^3
• (3^5)^2
• (10^4)^3
• (x^7)^10
• Look at your formula sheet. How does it show raising a power to a power?

When in doubt, expand exponents out:

• 3^4 x 3^2 = 3x3x3x3x3x3
• 5^7 / 5^2 =
• (8^2)^3 =

A cell is 4.5 x 10^-8 mm in diameter. Rewrite this with positive exponents.

A tarantula's leg hairs are 5^-2 inch long. Write this number with a positive exponent and then as decimal.

Simplify negative exponents:

• 4^ -3 =
• 7^ -5 =
• 10^ -4 =
• How does your formula sheet show negative exponents?