If we multiply a fraction by itself and divid | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the fraction be $x$.According to the problem,we multiply the fraction by itself and divide by the square of its reciprocal:$x 	imes x \div \l

Vedclass · Accepted Answer

$\frac{4}{3}$

Vedclass · Answer

(C) Let the fraction be $x$.According to the problem,we multiply the fraction by itself and divide by the square of its reciprocal:$x 	imes x \div \left(\frac{1}{x}ight)^2 = 3 \frac{13}{81}$Convert the mixed fraction to an improper fraction:$3 \frac{13}{81} = \frac{3 	imes 81 + 13}{81} = \frac{243 + 13}{81} = \frac{256}{81}$Now,simplify the equation:$x^2 \div \frac{1}{x^2} = \frac{256}{81}$$x^2 	imes x^2 = \frac{256}{81}$$x^4 = \frac{256}{81}$Express the right side as a power of $4$:$x^4 = \left(\frac{4}{3}ight)^4$Therefore,$x = \frac{4}{3}$.

If we multiply a fraction by itself and divide the product by the square of its reciprocal,the fraction obtained is $3 \frac{13}{81}$. The original fraction is

Similar Questions

If $(a+\frac{1}{a})^{2}=3,$ then $a^{3}+\frac{1}{a^{3}}=?$

If we multiply a fraction by itself and divide the product by its reciprocal,the fraction thus obtained is $18 \frac{26}{27}$. The fraction is

If $10^{2y} = 25$,then what is the value of $10^{y}$?

What approximate value will come in place of the question mark $(?)$ in the given equation? (You are not expected to calculate the exact value)
$2775 \times \frac{160}{\sqrt{?}} = 5550$

Vedclass Test Series

Exam Paper Generator

Online Exam Module