SIMPLIFY EXPONENTIAL EXPRESSIONS WORKSHEET

Decide whether the expression has been simplified correctly.

Problem 1 :

 (ab)⁸ = ab⁸

A) Yes          B) No

Solution

Problem 2 :

(a/4)⁵ = a⁵/4

A) Yes          B) No

Solution

Apply the product rule for exponents, if possible.

Problem 3 :

(-3x⁵y)(-4x⁹y²)

A) 12x⁴⁵y²      B) -12x¹⁴y²      C) 12x¹⁵y³       D)12x¹⁴y³

Solution

Evaluate the expression.

Problem 4 :

10⁰ + 5⁰

A) 0      B) 1       C) 15      D)2

Solution

Problem 5 :

-10⁰

A) -10      B) 1       C) -1        D)0

Solution

Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if necessary.

Problem 6 :

5x^-2

A) 1/5x²        B) -10x         C) 5/x²        D)1/25x²

Solution

Problem 7 :

(-a)^-18

A) 1/a¹⁸         B) 18a          C) 1/-a¹⁸       D)1/a^-18

Solution

Evaluate the expression.

Problem 8 :

5^-4/6^-3

A) 1296/3125     B) 216/625      C) 3125/1296    D) 625/216

Solution

Problem 9 :

1/-3^-3

A) -9      B) -27        C) 9        D)27

Solution

Problem 10 :

(2/7)^-3

A) -343/8      B) 8/343      C) -8/343     D)343/8

Solution