(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

Evaluate the following:

`(8/27)^((-2)/3) - (1/3)^-2 - 7^0`

Evaluate the following:

`9^(5/2) - 3 xx 5^0 - (1/81)^((-1)/2)`

Evaluate the following:

`(27)^(2/3) xx 8^((-1)/6) ÷ 18^((-1)/2)`

Evaluate the following:

`16^(3/4) + 2(1/2)^-1 xx 3^0`

Evaluate the following:

`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`

Solve for x:
2^2x+1= 8

Solve for x:
`9 xx 3^x = (27)^(2x - 5)`

Solve for x:
3 x 7^x = 7 x 3^x

Solve for x:
2^{x + 3} + 2^{x + 1} = 320

Solve for x:
2^2x+3 - 9 x 2^x + 1 = 0

Solve for x:
1 = p^x

Solve for x:
p³ x p^-2 = p^x

Solve for x:

`"p"^-5 = (1)/"p"^(x + 1)`

Solve for x:
2^2x + 2^{x +2} - 4 x 2³ = 0

Solve for x:

9 x 81^x = `(1)/(27^(x - 3)`

Solve for x:
2^{2x- 1} − 9 x 2^{x − 2} + 1 = 0

Solve for x:
5^x2 : 5^x = 25 : 1

Solve for x:

`sqrt((8^0 + 2/3)` = (0.6)^2-3x 

Solve for x:

`sqrt((3/5)^(x + 3)) = (27^-1)/(125^-1)`

Solve for x:
9^x+4 = 3² x (27)^x+1