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By what number (23)-3 should be multiplied so that the product becomes (69)-1?
  • a)
    529/4
  • b)
    529/7
  • c)
    529/3
  • d)
    529/6
Correct answer is option 'C'. Can you explain this answer?
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To find the number by which (23)-3 should be multiplied to become (69)-1, we can set up the equation:

x * (23)-3 = (69)-1

Simplifying the given expressions, we have:

(23)-3 = 23 * 23 * 23
(69)-1 = 1/69

Substituting these values back into the equation, we have:

x * (23 * 23 * 23) = 1/69

Solving for x:

x = (1/69) / (23 * 23 * 23)

Now, let's simplify the expression on the right-hand side:

x = 1/69 / (23 * 23 * 23)

Since dividing by a fraction is the same as multiplying by its reciprocal, we can rewrite the expression as:

x = 1/69 * (1 / (23 * 23 * 23))

Simplifying further:

x = 1 / (69 * 23 * 23 * 23)

Now, let's calculate the value of x:

x = 1 / (69 * 23 * 23 * 23)
x = 1 / (69 * 12167)
x = 1 / 838,323
x ≈ 0.000001192

Thus, the correct answer is option C) 529/3, which is approximately equal to 0.000001192.
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