Math, asked by sakshi370, 1 year ago

plzz solve this ques

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Answered by siddhartharao77
3
Given : ( \sqrt[3]{x^2} )^ \frac{3}{4}

= ((x^2)^ \frac{1}{3})^ \frac{3}{4}

= (x^ \frac{2}{3} )^ \frac{3}{4}

=  x^{ \frac{2}{3} *  \frac{3}{4}  }

=  x^{ \frac{2}{4} }

=  x^{ \frac{1}{2} }


Hope this helps!

siddhartharao77: :-)
Answered by unknown39a
1
x^1/2

if an exponent is in fraction then the numerator is strength and denominator is root

so
cube root gets cancelled by the power of 3 and the x² gets the 4th root essentially creating square root x or
√x


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