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SBBF : INDICES

Total questions: 11

Worksheet time: 3hrs 31mins

Name
Class
Date
1.

Simplify,
Permudahkan
 2m×8×16n2^m\times8\times16^n  

a)

 2(m+3+4n)2^{\left(m+3+4n\right)}  

b)

 2(m+3+2n)2^{\left(m+3+2n\right)}  

c)

 2(2m+3+4n)2^{\left(2m+3+4n\right)}  

d)

 2(m+4n)2^{\left(m+4n\right)}  

2.

Find the value
Cari nilai
 512×2534÷6255^{\frac{1}{2}}\times25^{\frac{3}{4}}\div625  

a)

 125\frac{1}{25}  

b)

 1125\frac{1}{125}  

c)

 15\frac{1}{5}  

d)

 110\frac{1}{10}  

3.

Simplify,
Permudahkan,
 5(12q)×53×5(4p+7)5^{\left(1-2q\right)}\times5^3\times5^{\left(4p+7\right)}  

a)

 5(112q+4p)5^{\left(11-2q+4p\right)}  

b)

 5(112q+2p)5^{\left(11-2q+2p\right)}  

c)

 5(11q+4p)5^{\left(11-q+4p\right)}  

d)

 5(2q+4p)5^{\left(2q+4p\right)}  

4.

Simplify,

Permudahkan,

 5m^2n^3\times\left(m^3n^2\right)^{-2}  

a)

 5m4n\frac{5}{m^4n}  

b)

 5m5n\frac{5}{m^5n}  

c)

 5m2n\frac{5}{m^2n}  

d)

 5nm4\frac{5n}{m^4}  

5.

Given,
Diberi,
 2s=3t=6u2^s=3^t=6^u  

Express u in terms of s and t
Ungkapkan u dalam sebutan s dan t

a)

 u=sts+tu=\frac{st}{s+t}  

b)

 u=ss+tu=\frac{s}{s+t}  

c)

 u=ts+tu=\frac{t}{s+t}  

d)

 u=sts+2tu=\frac{st}{s+2t}  

6.

Simplify,
ungkapkan,

 2(x+4)+2x72(2(x3))2^{\left(x+4\right)}+2^x-72\left(2^{\left(x-3\right)}\right)  


a)

 2(x+3)2^{\left(x+3\right)}  

b)

 2(x+2)2^{\left(x+2\right)}  

c)

 2(x+1)2^{\left(x+1\right)}  

d)

 2(x+8)2^{\left(x+8\right)}  

7.

Simplify,
Permudahkan,

 6(p1)+6(p+1)3(6 p)6^{\left(p-1\right)}+6^{\left(p+1\right)}-3\left(6^{\ p}\right)  


a)

 19(6(p1))19\left(6^{\left(p-1\right)}\right)  

b)

 19(6p)19\left(6^p\right)  

c)

 21(6(p1))21\left(6^{\left(p-1\right)}\right)  

d)

 21(6 p)21\left(6^{\ p}\right)  

8.

Solve,
Selesaikan,

 4x×162x=64(2x+1)4^x\times16^{2x}=64^{\left(2x+1\right)}  


a)

x = -3

b)

x = 3

c)

x = -9

d)

x = 9

9.

Solve the following simultaneous equation
Selesaikan persamaan serentak yang berikut

 63x×36 y=16^{3x}\times36^{\ y}=1  and/dan  4(4x1)×16y=1644^{\left(4x-1\right)}\times16^y=\frac{1}{64}  


a)

x= -2 , y = 3

b)

x= 2 , y = 3

c)

x= 2 , y = -3

d)

x= -2 , y = -3

10.

Find the value
Cari nilai
 3 x+3 (x+2)=903^{\ x}+3^{\ \left(x+2\right)}=90  

a)

x = 2

b)

x = -2

c)

x = 4

d)

x = -4

11.

Sis Qila comel tak??

a)

Comel!!

b)

enggakkk

c)

Saya lagi comel :p