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Indices 1

Total questions: 10

Worksheet time: 3mins

Name
Class
Date
1.

 an=2ba^n=2b  , n is called ...

a)

base

b)

integer

c)

index

d)

coefficient

2.

Base of the following indices number is ...

 (34)5\left(\sqrt{3^4}\right)^5  

a)

2

b)

3

c)

4

d)

5

3.

Rule number 2 of indices :
 xn×yn=...x^n\times y^n=...  

a)

 (x+y)n\left(x+y\right)^n  

b)

 (x×y)2n\left(x\times y\right)^{2n}  

c)

 (x+y)n\left(x+y\right)^n  

d)

 (x×y)n\left(x\times y\right)^n  

4.

 (73)4 = ...\left(7^3\right)^{4\ }=\ ...  

a)

 7127^{12}  

b)

 777^7  

c)

 7817^{81}  

d)

 7647^{64}  

5.

Rewrite without the negative exponent

 a2b3c3d4=...\frac{a^{-2}b^3}{c^3d^{-4}}=...  

a)

 (a2b3c3d4)\left(\frac{a^2b^3}{c^3d^4}\right)  

b)

 (b3d4a2c3)\left(\frac{b^3d^4}{a^2c^3}\right)  

c)

 (a2d4c3b3)\left(\frac{a^2d^4}{c^3b^3}\right)  

d)

 (a3c3b3d4)\left(\frac{a^3c^3}{b^3d^4}\right)  

6.

 307=...\frac{3^0}{7}=...  

a)

 11  

b)

 00  

c)

 17\frac{1}{7}  

d)

undefined

7.

 32+(3)2(32)=...-3^2+\left(-3\right)^2-\left(-3^2\right)=...  

a)

9

b)

27

c)

-27

d)

-9

8.

The exponent form with the base of 2 of the following is ...

 1128\frac{1}{128}  

a)

 272^{-7}  

b)

 272^7  

c)

 127\frac{1}{2^{-7}}  

d)

 27-2^7  

9.

The equal form of  23\sqrt{2^3}  is ...

a)

 2322^{\frac{3}{2}}  

b)

 2232^{\frac{2}{3}}  

c)

 232^{-3}  

d)

 2132^{-\frac{1}{3}}  

10.

 0.00813= ...0.008^{\frac{1}{3}}=\ ...  

a)

0.2

b)

 12\frac{1}{2}  

c)

0.002

d)

0.02