Grade 8 | Unit 7 | Lesson 3: Powers of Powers of 10 | Practice Problems

Write the expression \((10^7)^2\) with a single exponent.

Write the expression \((10^9)^3\) with a single exponent.

Write the expression \((10^6)^3\) with a single exponent.

Write the expression \((10^2)^3\) with a single exponent.

Write the expression \((10^3)^2\) with a single exponent.

Write the expression \((10^5)^7\) with a single exponent.

You have 1,000,000 number cubes, each measuring one inch on a side. If you stacked the cubes on top of one another to make an enormous tower, how high would they reach?

If you arranged the cubes on the floor to make a square, would the square fit in your classroom? What would its dimensions be?

If you layered the cubes to make one big cube, what would be the dimensions of the big cube?

An amoeba divides to form two amoebas after one hour. How many amoebas are there after 1 hour?