Exponent laws with letters, like (3x³y⁻²)³

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   In math club, Ari simplifies q^-4 × q^-3. What is it as a single power of q?

   q^-7
2. 2.

   In math club, Bo simplifies s^2 ÷ s^-5. What is it as a single power of s?

   s^7
3. 3.

   In math club, Esme simplifies (u^-2)^-4. What is it as a single power of u?

   u^8
4. 4.

   In math club, Luz simplifies (7w^4)(2w^-9). What is it as one monomial?

   14w^-5
5. 5.

   In math club, Noah simplifies (3x^-1y^4)^2. What is it as one monomial?

   9x^-2y^8
6. 6.

   In math club, Pia simplifies (5x^4y^-3)^2. What is it as one monomial?

   25x^8y^-6
7. 7.

   In math club, Tala rewrites x^-3. Which expression is equal to x^-3?

   • x^3
   • 1 ÷ x^3
   • -3x
   • -x^3
8. 8.

   In math club, Zee rewrites 1 ÷ y^5. Which expression is equal to 1 ÷ y^5?

   • -y^5
   • y^-5
   • -5y
   • y^5
9. 9.

   In math club, Ari simplifies w^-2 × w^5. Which expression is equal to w^-2 × w^5?

   • -w^3
   • w^3
   • w^7
   • w^-10
10. 10.

    In math club, Milo simplifies v^-3 ÷ v^4. What is it as a single power of v?

    v^-7