EVALUATING EXPRESSIONS WITH NEGATIVE EXPONENTS PRACTICE

1)  5^-2

2)  25^-1/2

3)  (16/25)^-3/2

4)  (4y)^-2

5)  (27b)^1/3 / (9b)^-1/2

6)  b^-1/2 = 4, what is the value of b ?

7)  (2^m)^-6 = 16, what is the value of 2³ x m ?

8)  If 4ⁿ = 20, then what is the value of 4^-n ?

9)  If a^-1/2 = 3, what is the value of a ?

10)  If 3^x = 10, what is the value of 3^x-3 ?

Solution

1)  yx^1/3 ⋅ xy^3/2

2)  4v^2/3 ⋅ v^-1

3)  (a^1/2 b^1/2)^-1

4)  (x⁰y^1/3)^3/2 x⁰

5)  (2x^1/2y^1/3)/(2x^4/3y^-7/4)

6)  u^-5/4v² ⋅ (u^3/2)^-3/2

7)  uv ⋅ u ⋅ (v^3/2)³

8)  (2x^-2y^5/3)/x^-5/4y^-5/3 ⋅ xy^1/2

9)  (a^3/4b^-1 ⋅ b^7/4)/3b^-1

10)  (3y^-5/4)/y^-1 ⋅ 2y^-1/3

Solution