Which of the following is equal to x? | vedclass

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

Question

(a) $x^{\frac{12}{7}} 	imes x^{\frac{5}{7}} 
eq x$

(b) $\sqrt[12]{\left(x^{4}ight)^{\frac{1}{3}}}=\sqrt[12]{x^{4 x \frac{1}{3}}}=\left(x^{\frac

Vedclass · Accepted Answer

$\left(\sqrt{x^{3}}\right)^{\frac{2}{3}}$

Vedclass · Answer

(a) $x^{\frac{12}{7}} 	imes x^{\frac{5}{7}} 
eq x$

(b) $\sqrt[12]{\left(x^{4}ight)^{\frac{1}{3}}}=\sqrt[12]{x^{4 x \frac{1}{3}}}=\left(x^{\frac{4}{3}}ight)^{\frac{1}{12}}=x^{\frac{4}{3} 	imes \frac{1}{12}}=x^{\frac{1}{9}} 
eq x$

(c) $\left(\left(x^{3}ight)^{\frac{1}{2}}ight)^{\frac{2}{3}}=(x)^{\frac{3}{2} 	imes \frac{2}{3}}=x^{1}=x$

(d) $x^{\frac{12}{7}} 	imes x^{\frac{7}{12}}=x^{\frac{12}{7}+\frac{7}{12}}=x^{\frac{193}{84}} 
eq x$

Hence, (B) is the correct answer.

Which of the following is equal to $x$?

Similar Questions

State whether the following statements are true or false? Justify your answer.

$(i)$ $\frac{\sqrt{2}}{3}$ is a rational number.

$(ii)$ There are infinitely many integers between any two integers.

For each question, select the proper option from four options given, to make the statement true : (Final answer only)

$\left(5^{-2}\right)^{3}=\ldots \ldots \ldots$

Are there two irrational numbers whose sum and product both are rationals? Justify.

Rationalise the denominator of the following:

$\frac{16}{\sqrt{41}-5}$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ upto three places of decimal.

$\frac{4}{\sqrt{3}}$

Which of the following is equal to $x$?

Similar Questions

State whether the following statements are true or false? Justify your answer. $(i)$ $\frac{\sqrt{2}}{3}$ is a rational number. $(ii)$ There are infinitely many integers between any two integers.

For each question, select the proper option from four options given, to make the statement true : (Final answer only) $\left(5^{-2}\right)^{3}=\ldots \ldots \ldots$

Are there two irrational numbers whose sum and product both are rationals? Justify.

Rationalise the denominator of the following: $\frac{16}{\sqrt{41}-5}$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ upto three places of decimal. $\frac{4}{\sqrt{3}}$

State whether the following statements are true or false? Justify your answer.

$(i)$ $\frac{\sqrt{2}}{3}$ is a rational number.

$(ii)$ There are infinitely many integers between any two integers.

For each question, select the proper option from four options given, to make the statement true : (Final answer only)

$\left(5^{-2}\right)^{3}=\ldots \ldots \ldots$

Rationalise the denominator of the following:

$\frac{16}{\sqrt{41}-5}$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ upto three places of decimal.

$\frac{4}{\sqrt{3}}$