MathsIndices

Chapter 5

Indices

1) Express each of the following numbers as a repeated multiplication of its base and find its values if possible.

a)

35

b)

53

c)

(-2)3

d)

(-3)4

e)

m4

f)

g)

h)

i)

j)

2) Express each of the following in index notation.

a)

b)

c)

d)

3) Express each of the following as an index number with the given base.

a)

27 (base 3)

b)

125 (base 5)

c)

16 (base 2)

d)

64 (base 4)

e)

512 (base 8)

f)

1000 (base 10)

g)

256 (base 16)

h)

343 (base 7)

i)

729 (base 9)

4) Simplify each of the following.

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

l)

m)

n)

o)

p)

5) Write the following in terms of fraction or index number.

a)

b)

c)

d)

e)

f)

6) Write the following in terms of roots or index notations.

a)

b)

c)

d)

e)

f)

7) Write each of the following in the form of or .

a)

b)

c)

d)

e)

f)

8) Find the values of the following.

a)

b)

c)

d)

e)

f)

9) Simplify each of the following.

a)

b)

c)

d)

10) Find the value of x.

a)

b)

c)

d)

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