Practice Sheet 2 on Exponents

PRACTICE SHEET 2

•    Write in power notation:

(a)    (-7)×(-7)×(-7)×(-7)

(b)   (5/3)×(5/3) ×(5/3)

• 2.       Express in power notation: (a)(-1/128)  (b)27/64

• 3.       Express as rational number: (a) (-4/5)³   (b) (-3/4)⁴  (c)  (-6)^-1

• 4.       Find the reciprocal: (-4)³

• 5.       Simplify:

(i)                  (-4)⁰

(ii)                (4⁰+7⁰)

(iii)               (5/4)^-4(5/4)²

(iv)              (2/3)³×(6/4)²

(v)                (5^-1-7^-1)^-1

(vi)              ((-2/3)²)³

(vii)             (-3/2)³÷(-3/2)⁶

• 6.       By what number should (-4)^-1 be multiplied so that the product is (-6)^-1?

• 7.       By what number should (-3)^-1 be divided to get (-8)^-1?

• 8.       Find x: (3/5)³×(3/5)^-6=(3/5)^2x-1

• 9.       (9ⁿ×3²×3ⁿ-27ⁿ)/ ((3³)⁵×2³)=1/27, find the value of n

• 10.   Simplify: (2⁴×10²×25)/(5²×6³)