Exponent Rules, Square Roots and Cubes

Evaluate the expression without any exponents.

(5²)⁶ X 5^-9

• 1/5

• 5

• -125

• 125

Evaluate the expression without any exponents.

(4³ x 4⁵) ÷ 4¹²

• -256

• 1/256

• 256

• -1/256

Evaluate the expression with a base and a positive exponent in your answer.

m^-12 x m⁷

• m^-5

• m⁵

• 1/m-19

• 1/m⁵

Evaluate the expression with a base and a positive exponent in your answer.

(k^-5)² x k⁷

• 1/k³

• k^-3

• k³

• k⁰

True or False

(8¹)⁴ = 8² x 8²

• True

• False

True or False

g¹²/(g²)⁵ = g^-9 x g⁸

• True

• False

Which of the following is equivalent to 12⁸?

• (12⁶)²

• 12⁴ x 12⁴

• (12⁴)²

• Both B & C

• All of the above.

Which of the following does NOT have the same value as 15⁶?

• 15¹⁰/15⁴

• 15⁷/15²

• 15² x 15⁴

• (15³)²

Which of the following has a value of 1?

• (3² x 3⁵)/3¹⁰

• 7^-6 x 7⁵

• (5⁴)²/5⁸

• 10³/10²

Which of the following represents the value of x, the missing exponent needed to make the equation a true statement?

(e⁵)⁴/e^x = e^-4 x e²

• 25

• 22

• 26

• 19