Question

A number is 27 times of the square of its reciprocal. The number is:-​

Answer 1

$Let \: a \: number \: be \: \pink{x}$

$Reciprocal \: of \: the \: number = \frac{1}{x}$

/* According to the problem given*/

$x = 27 \times \frac{1}{x^{2}}$

$\implies x\times x^{2} = 27$

$\implies x^{3} = 3^{3}$

$\implies x = 3$

$\boxed{ \blue{ \because If \: a^{m} = a^{n} \implies m = n }}$

Therefore.,

$\red{ Required \: number } \green { = 3}$

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Answer 2

Answer:

3

Step-by-step explanation:

let

• x be the number

ATQ

➡️ x = 27 × 1/x²

➡️ x × x² = 27

➡️ x³ = 3³

➡️ x = 3 [am = an => m = n]

therefore, the required number is 3

hope it helps ! ☺️