Question

if 2power n is equals to 32 then 5 power n minus 2 is equals to​

Answer 1

Answer- The above question is from the chapter 'Exponents and Powers'.

Exponents: Exponent is a mathematical operation in which a number called a base has a power written raised to the base.

Exponent is used to avoid the repetition of numbers being multiplied.

Example:

2 × 2 × 2 = 8

2³ = 8

Here, 2 is the base and 3 is the exponent or power.

Question: If 2ⁿ equals to 32, then 5ⁿ minus 2 equals to _______ .

Solution: We are given that 2ⁿ = 32.

Prime factorisation of 32 = 2 × 2 × 2 × 2 × 2 = 2⁵

⇒ 2ⁿ = 2⁵

When bases are equal, powers will automatically get equal.

⇒ n = 5

Now, 5ⁿ minus 2 = 5⁵ - 2

                             = 3125 - 2 = 3123

∴ 5ⁿ minus 2 = 3123