Question

By what number should 27-2 be divided so that the quotient is 49

Answer 1

Given:

✰ Dividend = 27⁻²

✰ Quotient = 49

To find:

✠ Divisor

Solution:

Let's understand the question first! They are saying that by what number should 27⁻² be divided so that the quotient is 49. If we consider that number as x, Now 27⁻² be divided by x so that the quotient is 49. Now, we will form an expression and by doing required calculations we will easily get the value of x which is equivalent to divisor or the number by which 27⁻² is divided to get 49.

Let the number of x

According to the question,

➙ 27⁻² ÷ x = 49

➙ (1/27)² ÷ x = 49

➙ 1/729 ÷ x = 49

➙ 1/729 × 1/x = 49

➙ 1/729 = 49 × x

➙ 1/729/49 = x

➙ x = 1/729 × 1/49

➙ x = 1/35721

➙ x = 35721⁻¹

∴ 27⁻² should be divided by 35721⁻¹ to get 49.

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