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

Factorise the following by grouping the terms:

`(1)/(25x^2) + 16x^2 + (8)/(5) - 12x - (3)/(5x)`

Factorise the following by grouping the terms:
2p(a² - 2b²) -14p + (a² - 2b²)² - 7(a² - 2b²)

Evaluate the following:

`(2^3 xx 3^5 xx 24^2)/(12^2 xx 18^3 xx 27)`

Evaluate the following:

`(4^3 xx 3^7 xx 5^6)/(5^8 xx 2^7 xx 3^3)`

Evaluate the following:

`(12^2 xx 75^-2 xx 35 xx 400)/(48^2 xx 15^-3 xx 525)`

Evaluate the following:

`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`

Evaluate the following:

`(1 - 15/64)^(-1/2)`

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)`