Powers of Powers, Products and Quotients Worksheet with Answer Key

What's on the worksheet

1. Simplify powers of powers and powers of products:
   (w^3)^8(-2x^3)^4(5a^2b^3)^2\left(\dfrac{x}{3}\right)^4(-4c^5)^3
2. Fill in each blank so the equation is true for every value of the letters:
3. Write a product of powers with different bases as a single power and a power of 10.
4. Word problem: bytes in a kilobyte, a megabyte and a gigabyte.
5. Find what Ethan did wrong in four expressions and correct each one:
6. Write each number as a single power of 2, then order them from least to greatest.
7. Find the whole number that makes each equation true:
8. Compare (2x) cubed with 2 times x cubed, and explain why the first is always the same whole-number multiple.