Questions

1) Find x, the value of these powers:

a) 5– 2 = x

b) 7² = x

c) 8 – 1 = x

d) 10 – 3 = x

e) 1000 = x .

2) Find c, the base of these powers :

a)

b) c² = 144

c) c 0 = 1

d)

e) .

3) Find x, the exponent of these powers :

a)

b) 8 x = 512

c)

d)

e) .

4) Rewrite these terms replacing the radical sign with a fractional exponent, then simplify.

a)	b)	c)	d)	e)
f)	g)	h)	i)	j)

Solutions

1) Find x, the value of these powers:

a) 5– 2 = 1/5² = 1/ 25

b) 7² = 49

c) 8 – 1 = 1/ 8

d) 10 – 3 = 1/1000

e) 1000 = 1 .

2) Find c, the base of these powers :

a) c = 6

b) c² = 144 c = 12

c) c 0 = 1 c = any number

d) c = 5

e) . c = 10

3) Find x, the exponent of these powers :

a) x = – 2

b) 8 x = 512 x = 3

c) x = – 3

d) x = – 3

e) . x = – ½

4) Rewrite these terms replacing the radical sign with a fractional exponent, then simplify.

a) (16x 4)1/ 2 = 4x²	b) (27y 3)1/ 3 = 3y	c) (64x 6)1/ 2 = 8x³	d) (8x³)1/ 3 = 2x.	e) (– 8x 6)1/ 3 = – 2x².
f)	g)	h)
i)	j)

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