Multiply and divide powers (the laws of exponents)

Answer Key - Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Jun's combination padlock shows 7^5 × 7^8 = 7^? on its tag. It has seen a lot of wrong guesses today. What exponent opens the padlock?

   13
2. 2.

   Kira's robot is stuck on 9^4 × 9^6 = 9^?. Its antenna droops a little. What exponent does the robot need?

   10
3. 3.

   Luz's craft box holds 3^2 bags with 3^4 beads in each bag, so it holds 3^? beads. The lid barely closes. What is the missing exponent?

   6
4. 4.

   Milo's worksheet asks for 6^10 ÷ 6^2 = 6^?. The question is printed in a very serious font. What is the missing exponent?

   8
5. 5.

   Pia's robot prints 8^12 ÷ 8^3 = 8^? on a long paper strip. It waits with a blinking light. What exponent does the robot need?

   9
6. 6.

   Esme's quiz card asks about 6^4 × 6^3. The card has a star in each corner. Which single power is equal to 6^4 × 6^3?

   • 6^7
   • 6^12
   • 36^7
   • 6^1
7. 7.

   Kira's padlock tag shows 8^10 ÷ 8^2 and four dial settings. Only one setting is right. Which single power is equal to 8^10 ÷ 8^2?

   • 1^8
   • 8^5
   • 8^8
   • 8^12
8. 8.

   Luz's robot offers four answers for 10^8 ÷ 10^2. It spins in a circle while it waits. Which single power is equal to 10^8 ÷ 10^2?

   • 10^4
   • 1^6
   • 10^6
   • 10^10
9. 9.

   Noah's class folds 3^6 paper stars and packs them equally into 3^2 boxes, so each box holds 3^6 ÷ 3^2 stars. Every star is folded by hand. How many stars are in each box?

   81
10. 10.

    The town library has 10^5 books on 10^3 shelves, the same number on each shelf. Pia wants to read them all. How many books are on each shelf?

    100