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QUIZ CHAPTER 1 : INDICES

Total questions: 20

Worksheet time: 19mins

Name
Class
Date
1.

State    4×4×4×4×4×44\times4\times4\times4\times4\times4    in index notation form  ana^n  

a)

       A           47A\ \ \ \ \ \ \ \ \ \ \ 4^7          

b)

       B        46B\ \ \ \ \ \ \ \ 4^6  

c)

      C           74C\ \ \ \ \ \ \ \ \ \ \ 7^4  

d)

      D         64D\ \ \ \ \ \ \ \ \ 6^4  

2.

 convert k5 into repeated multiplication.\ convert\ k^5\ into\ repeated\ multiplication.  


a)

A              k×k×k×k×k×kA\ \ \ \ \ \ \ \ \ \ \ \ \ \ k\times k\times k\times k\times k\times k  

b)

B          k×k×k×kB\ \ \ \ \ \ \ \ \ \ k\times k\times k\times k  

c)

C            k×k×k×k×kC\ \ \ \ \ \ \ \ \ \ \ \ k\times k\times k\times k\times k  

d)

D            5 ×kD\ \ \ \ \ \ \ \ \ \ \ \ 5\ \times k  

3.

33  × 37 =3^{3\ \ }\times\ 3^{7\ }=  

a)

A          36A\ \ \ \ \ \ \ \ \ \ 3^6  

b)

B      33B\ \ \ \ \ \ 3^3  

c)

C          321C\ \ \ \ \ \ \ \ \ \ 3^{21}  

d)

D        310D\ \ \ \ \ \ \ \ 3^{10}  

4.

what is the base for x20 ?what\ is\ the\ base\ for\ x^{20}\ ?  

a)

A            20A\ \ \ \ \ \ \ \ \ \ \ \ 20  

b)

B          xB\ \ \ \ \ \ \ \ \ \ x  

c)

C           20xC\ \ \ \ \ \ \ \ \ \ \ 20x  

d)

D          x20D\ \ \ \ \ \ \ \ \ \ x^{20}  

5.

33  × 37 =3^{3\ \ }\times\ 3^{7\ }=  

a)

A          36A\ \ \ \ \ \ \ \ \ \ 3^6  

b)

B      33B\ \ \ \ \ \ 3^3  

c)

C          321C\ \ \ \ \ \ \ \ \ \ 3^{21}  

d)

D        310D\ \ \ \ \ \ \ \ 3^{10}  

6.

4m3 × 2m6 =4m^{3\ }\times\ 2m^{6\ }=  

a)

A          6m18A\ \ \ \ \ \ \ \ \ \ 6m^{18}  

b)

B         6m9B\ \ \ \ \ \ \ \ \ 6m^9  

c)

C         8m9C\ \ \ \ \ \ \ \ \ 8m^9  

d)

D          8m18D\ \ \ \ \ \ \ \ \ \ 8m^{18}  

7.

p5 ×3q3 ×3p6 ×2q2 =p^{5\ }\times3q^{3\ }\times3p^6\ \times2q^2\ =  

a)

A         3p11  ×5q6A\ \ \ \ \ \ \ \ \ 3p^{11\ }\ \times5q^6  

b)

B       3p30 × 5q6B\ \ \ \ \ \ \ 3p^{30\ }\times\ 5q^6  

c)

C       3p11 +6q5C\ \ \ \ \ \ \ 3p^{11}\ +6q^5  

d)

D        3p11  × 6q5D\ \ \ \ \ \ \ \ 3p^{11\ \ }\times\ 6q^5  

8.

520 ÷ 55 =5^{20\ }\div\ 5^5\ =  

a)

A          54A\ \ \ \ \ \ \ \ \ \ 5^4  

b)

B         515B\ \ \ \ \ \ \ \ \ 5^{15}  

c)

C         55C\ \ \ \ \ \ \ \ \ 5^5  

d)

D       115D\ \ \ \ \ \ \ 1^{15}  

9.

Simplify 62 x 63 as a single number in index form.

a)

7776

b)

66

c)

65

d)

365

10.

95 ÷ 93 =

a)

92

b)

98

c)

915

11.
Simplify 40
a)
1
b)
4
c)
0
12.

Simplify the following expression:

xy-7

a)

xy7

b)


xy7\frac{x}{y^7}

c)

x7y\frac{x^7}{y}

d)

x7yx^7y

13.

State 2 x 2 x 2 x 2 in index form.

a)

23

b)

25

c)

16

d)

24

14.

a7 × a4 ÷ a5 =

a)

a7

b)

a6

c)

a4

d)

a11

15.

What is the value of x2× x3 × x 4x^2\times\ x^{-3}\ \times\ x\ ^4  

a)

x9x^9  

b)

x7x^7  

c)

x6x^6  

d)

x3x^3  

16.

What is the value of (5x)0\left(5x\right)^0  

a)

1x1x  

b)

11  

c)

00  

d)

undefined

17.

24p6÷6p2=24p^6\div6p^2=  

a)

14p3\frac{1}{4}p^3  

b)

4p34p^3  

c)

4p44p^4  

d)

4p84p^8  

18.

23×3×2×36=2^3\times3\times2\times3^6=  

a)

23×362^3\times3^6  

b)

24×372^4\times3^7  

c)

6286^{28}  

d)

6116^{11}  

19.
What is the correct law for multiplication? am x an =
a)
am+n
b)
am + an
c)
amxn
d)
amn
20.
What is the correct law for division? am ÷ an =
a)
am-n
b)
am - an
c)
am÷n
d)
am/n