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

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

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

   27x^9y^-6
2. 2.

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

   (1/4)x^8y^-6
3. 3.

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

   (1/8)x^-9y^3
4. 4.

   In math club, Luz simplifies 30x^-2y^4 ÷ (6x^3y^-3). What is it as one monomial?

   5x^-5y^7
5. 5.

   Pia meets (2c^-2)^3 in math club. Which expression is equal to (2c^-2)^3?

   • 8c^-6
   • 6c^-6
   • 2c^-6
   • 8c^1
6. 6.

   Ren rewrites 6x^-2y^3 with only positive exponents. Which expression is equal to 6x^-2y^3?

   • 6x^2y^3
   • -6x^2y^3
   • 6y^3 ÷ x^2
   • y^3 ÷ (6x^2)
7. 7.

   Tala rewrites 4h^-3 with only positive exponents. Which expression is equal to 4h^-3?

   • 4h^3
   • 1 ÷ (4h^3)
   • 4 ÷ h^3
   • -4h^3
8. 8.

   Zee simplifies (x^-2)^3 × x^5 in math club. What is it as a single power of x?

   x^-1
9. 9.

   Ari simplifies w^5 ÷ (w^-2)^3 in math club. What is it as a single power of w?

   w^11
10. 10.

    Bo simplifies (y^4 × y^-7)^-2 in math club. What is it as a single power of y?

    y^6