Secondary School (English Medium) (5 to 8) कक्षा ८ - CBSE Question Bank Solutions for Mathematics

Solve the following:

`(1/2)^-2 ÷ (1/2)^-3`

Express as a power of a rational number with negative exponent.

`(((-3)/2)^-2)^-3`

Express as a power of a rational number with negative exponent.

(2⁵ ÷ 2⁸) × 2^–7 

Find the product of the cube of (–2) and the square of (+4).

Simplify:

`(1/4)^-2 + (1/2)^-2 + (1/3)^-2`

Simplify:

`(((-2)/3)^-2)^3 xx (1/3)^-4 xx 3^-1 xx 1/6`

Simplify:

`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`

Simplify:

(2⁵ ÷ 2⁸) × 2^–7

Find the value of x so that `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`

Find the value of x so that (–2)³ × (–2)^–6 = (–2)^{2x – 1}

Find the value of x so that (2^–1 + 4^–1 + 6^–1 + 8^–1)^x = 1

Find the value of x^–3 if x = (100)^{1 – 4} ÷ (100)⁰.

By what number should we multiply (–29)⁰ so that the product becomes (+29)⁰.

By what number should (–15)^–1 be divided so that quotient may be equal to (–15)^–1?

Find the multiplicative inverse of (–7)^–2 ÷ (90)^–1.

If `5^(3x - 1) ÷ 25 = 125`, find the value of x.

Find x so that `(2/9)^3 xx (2/9)^-6 = (2/9)^(2x - 1)`

By what number should `((-3)/2)^-3` be divided so that the quotient may be `(4/27)^-2`?

Find the value of n.

`6^n/6^-2 = 6^3`

Find the value of n.

`(2^n xx 2^6)/2^-3 = 2^18`