For any positive real number x- write the value ofxab1abxbc1bcxca1ca

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Standard XII

Mathematics

Standard Formulae - 1

For any posit...

Question

For any positive real number x, write the value of

${\{{(x^{a})}^{b}\}}^{\frac{1}{a b}} {\{{(x^{b})}^{c}\}}^{\frac{1}{b c}} {\{{(x^{c})}^{a}\}}^{\frac{1}{c a}}$

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Solution

We have to simplify. So,

By using rational exponents, we get

Hence the value of is

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For any positive real number x, write the value of xab1abxbc1bcxca1ca

We have to simplify. So, By using rational exponents, we get Hence the value of is

For any positive real number x, write the value of

${\{{(x^{a})}^{b}\}}^{\frac{1}{a b}} {\{{(x^{b})}^{c}\}}^{\frac{1}{b c}} {\{{(x^{c})}^{a}\}}^{\frac{1}{c a}}$

We have to simplify. So,

By using rational exponents, we get

Hence the value of is