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Negative indices

Total questions: 21

Worksheet time: 55mins

Name
Class
Date
1.
64=
a)
4
b)
8
c)
6
d)
21.3
2.
1000is the same as the cube root of 1000 =
a)
10
b)
333
c)
300
d)
100
3.

How else can you write  x\sqrt{x}  ?

a)

 x12x^{\frac{1}{2}}  

b)

 x2x^2  

c)

 x2x^{-2}  

d)

 x14x^{\frac{1}{4}}  

4.

Evaluate

a)

3

b)

18

c)

9

d)

6

5.

How else could you write  424^{-2}  ?

a)

 1616  

b)

 16-16  

c)

 116-\frac{1}{16}  

d)

 116\frac{1}{16}  

6.
4-½ =
a)
2
b)
-2
c)
½
d)
7.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
8.

Which of the following is equivalent to the expression  12x7\frac{1}{2x^7}  ?

a)

 (2x)7\left(2x\right)^{-7}  

b)

 12x7\frac{1}{2}x^7  

c)

 12x7\frac{1}{2}x^{-7}  

d)

 2x72x^{-7}  

9.


 2x3=?\frac{2}{x^3}=?  

a)

 2x32x^3  

b)

 2x32x^{-3}  

c)

 8x38x^3  

d)

 8x38x^{-3}  

10.

Simplify fully  x5×x2=?x^5\times x^{-2}=?  

a)

 x3x^3  

b)

 x7x^7  

c)

 x10x^{10}  

d)

 x10x^{-10}  

11.
Simplify.
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3
12.
Simplify
a)
7a5/b3
b)
b3/7a5
c)
7b3/a-5
d)
7b3 /a5
13.
Simplify.
a)
y60
b)
1/y16
c)
y-16
d)
y4
14.
a)
y4
b)
y5
c)
y6
d)
6y
15.
a)
t24
b)
t12
c)
t18
d)
t-12
16.
a)
b)
c)
d)
17.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-25

b)

2-5

c)

(-2)5

d)

(-2)-5

18.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
19.
Write the product using exponents: (-2) ⋅ (-2) ⋅ (-2) ⋅ x ⋅ x
a)
(-2)3 ⋅ x2
b)
-(23 ⋅ x2)
c)
-23 ⋅ x2
d)
8x2
20.
Rewrite using a positive exponent.
(-5)-4
a)
(-5)4
b)
1/(-5)-4
c)
1/(-5)4
d)
-625
21.
Rewrite using a positive exponent.
(-5)-4
a)
(-5)4
b)
1/(-5)-4
c)
1/(-5)4
d)
-625