Simplify: frac{11^{frac{1}{3}}}{11^{frac{1}{5 | vedclass

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

Question

(A) To simplify the expression $\frac{11^{\frac{1}{3}}}{11^{\frac{1}{5}}}$,we use the law of exponents: $\frac{a^m}{a^n} = a^{m-n}$.Applying this rule

Vedclass · Accepted Answer

$11^{\frac{2}{15}}$

Vedclass · Answer

(A) To simplify the expression $\frac{11^{\frac{1}{3}}}{11^{\frac{1}{5}}}$,we use the law of exponents: $\frac{a^m}{a^n} = a^{m-n}$.Applying this rule,we get $11^{\frac{1}{3} - \frac{1}{5}}$.To subtract the fractions in the exponent,we find a common denominator,which is $15$.So,$\frac{1}{3} - \frac{1}{5} = \frac{5}{15} - \frac{3}{15} = \frac{2}{15}$.Therefore,the simplified expression is $11^{\frac{2}{15}}$.

Simplify: $\frac{11^{\frac{1}{3}}}{11^{\frac{1}{5}}}$

Similar Questions

Rationalise the denominator of the following:
$\frac{2+\sqrt{3}}{2-\sqrt{3}}$

Insert a rational number and an irrational number between the following:
$0.0001$ and $0.001$

Convert the following rational number into decimal form and state the kind of its decimal expansion:
$\frac{4}{13}$

Simplify $7^{\frac{1}{4}} \cdot 12^{\frac{1}{4}}$.

Insert a rational number and an irrational number between the following:
$\frac{-2}{5}$ and $\frac{1}{2}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module