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

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

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