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.

   A fraction bar. On top: nine factors of w (w^9). Below: w × w × w × w (w^4). Esme's worksheet shows w^9 ÷ w^4, with every factor of w written out. What is it as a single power of w?

   w^5
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, Ren simplifies (4c^3)(3c^-1). What is it as one monomial?

   12c^2
10. 10.

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

    10d^6