Which of the following statement(s) is/are TR | vedclass

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

Question

(D) To evaluate statement $I$: $33^{3} > 3^{33}$.We can write $33^{3} = (3 	imes 11)^{3} = 3^{3} 	imes 11^{3}$.Comparing $3^{3} 	imes 11^{3}$ with

Vedclass · Accepted Answer

Neither $I$ nor $II$

Vedclass · Answer

(D) To evaluate statement $I$: $33^{3} > 3^{33}$.We can write $33^{3} = (3 	imes 11)^{3} = 3^{3} 	imes 11^{3}$.Comparing $3^{3} 	imes 11^{3}$ with $3^{33}$,we divide both sides by $3^{3}$:$11^{3}$ vs $3^{30}$.Since $11^{3} = 1331$ and $3^{30} = (3^{3})^{10} = 27^{10}$,it is clear that $1331 Therefore,$33^{3} To evaluate statement $II$: $333 > (3^{3})^{3}$.$(3^{3})^{3} = 3^{9} = 19683$.Since $333 Thus,neither $I$ nor $II$ is true.

Which of the following statement$(s)$ is/are $TRUE$?
$I.$ $33^{3} > 3^{33}$
$II.$ $333 > (3^{3})^{3}$

Similar Questions

If the square of the sum of three positive consecutive natural numbers exceeds the sum of their squares by $292$,then what is the largest of the three numbers?

What value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)
$22.9889 \div ? = 23$

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

When $\frac{1}{4}$ of a number is subtracted from $\frac{1}{3}$ of the same number,the remainder obtained is $12$. The number is:

Each member of a club contributes as many rupees and as many paise as the number of members of the club. If the total contribution is $Rs. 2525$,then the number of members of the club is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Which of the following statement$(s)$ is/are $TRUE$?$I.$ $33^{3} > 3^{33}$$II.$ $333 > (3^{3})^{3}$