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

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. 1.

   Ari's worksheet shows x^5 × x^4, with every factor of x written out. What is it as a single power of x?

   x^9
2. 2.

   Bo's worksheet shows (y^2)^5, with the copies written out. What is it as a single power of y?

   y^10
3. 3.

   In math club, Jun simplifies d^6 × d^-2. What is it as a single power of d?

   d^4
4. 4.

   In math club, Kira simplifies h^3 ÷ h^8. What is it as a single power of h?

   h^-5
5. 5.

   In math club, Luz simplifies (c^-3)^2. What is it as a single power of c?

   c^-6
6. 6.

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

   15x^6
7. 7.

   In math club, Noah simplifies (2y^5)(7y^3). What is it as one monomial?

   14y^8
8. 8.

   In math club, Pia simplifies (6w^2)(2w^7). What is it as one monomial?

   12w^9
9. 9.

   In math club, Tala simplifies (5d^4)(2d^2). What is it as one monomial?

   10d^6
10. 10.

    In math club, Zee simplifies (8h^6)(3h^-2). What is it as one monomial?

    24h^4