Surds and indices

[poornima lagadapati]

(17)^3.5 x (17)^? = 178

A.2.29
B.2.75
C.4.25
D.4.5

Given that 10^0.48 = x, 10^0.70 = y and xz = y2, then the value of z is close to:

A.1.45
B.1.88
C.2.9
D.3.7

If 5^a = 3125, then the value of 5^(a - 3) is:

A.25
B.125
C.625
D.1625

 

[poornima lagadapati]

If 3^(x - y) = 27 and 3^(x + y) = 243, then x is equal to:

A.0
B.2
C.4
D.6

(256)^0.16 x (256)^0.09 = ?

A.4
B.16
C.64
D.256.25

The value of [(10)^150 ÷ (10)^146]

A.1000
B.10000
C.100000
D.106

 

[poornima lagadapati]

(25)^7.5 x (5)^2.5 ÷ (125)^1.5 = 5?

A.8.5
B.13
C.16
D.17.5
E.None of these

(0.04)^-1.5 = ?

A.25
B.125
C.250
D.625

If m and n are whole numbers such that m^n = 121, the value of (m - 1)^n + 1 is:

A.1
B.10
C.121
D.1000

 

[poornima lagadapati]

(17)^3.5 x (17)^? = 178

A.2.29
B.2.75
C.4.25
D.4.5

Given that 10^0.48 = x, 10^0.70 = y and xz = y2, then the value of z is close to:

A.1.45
B.1.88
C.2.9
D.3.7

If 5^a = 3125, then the value of 5^(a - 3) is:

A.25
B.125
C.625
D.1625

1. D 2. C

 

[poornima lagadapati]

If 3^(x - y) = 27 and 3^(x + y) = 243, then x is equal to:

A.0
B.2
C.4
D.6

(256)^0.16 x (256)^0.09 = ?

A.4
B.16
C.64
D.256.25

The value of [(10)^150 ÷ (10)^146]

A.1000
B.10000
C.100000
D.106

1. C 2. A

 

[poornima lagadapati]

(25)^7.5 x (5)^2.5 ÷ (125)^1.5 = 5?

A.8.5
B.13
C.16
D.17.5
E.None of these

(0.04)^-1.5 = ?

A.25
B.125
C.250
D.625

If m and n are whole numbers such that m^n = 121, the value of (m - 1)^n + 1 is:

A.1
B.10
C.121
D.1000

1. B 2. B