Question

Which of the following is equal to x? *
a.x12/7-x5/7
b.12√(x4)1/3
c.(√x3)2/3
d.x12/7×x7/12
​

Answer 1

Answer:

a.

is your correct answer

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Answer 2

$\huge \bf{Question}$

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Which of the following is equal to x?

$\bf \ \: A) \: x ^{ \frac{12}{7} } - x ^{ \frac{5}{7} }$

$\bf \: B) \: \sqrt[13]{(x ^{4}) \frac{1}{3} }$

$\bf \: C) \: (\sqrt{x^{3} ) ^{ \frac{2}{3} } }$

$\bf \: D) \: x ^{ ^{ \frac{12}{7} } } \times x^{ \frac{7}{12} }$

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$\huge \bf{Answer}$

$\bf \pink{The \: Correct \: option \: i s \: C}$

$\bf \ \: A) \: x ^{ \frac{12}{7} } - x ^{ \frac{5}{7} } = x ^{ \frac{5}{7} } - x^{ \frac{5}{7} } [ \therefore \: a ^{m + n} = a ^{m} a^{n} ]$

$\bf = x^{ \frac{5}{7} } \times x - x ^{ \frac{5}{7} }$

$\bf \: B) \: \sqrt[13]{(x ^{4}) \frac{1}{3} } = \bigg((x^{4} )^{ \frac{1}{3} } \bigg)^{ \frac{1}{12} } [ \therefore \: m \sqrt{a} = a^{ \frac{1}{m} } ]$

$\bf = x^{4 \times \frac{1}{3} \times \frac{1}{12} } = x^{ \frac{1}{9} } [ \therefore \bigg((x ^{m} )^{n} \bigg)^{p} = x ^{mnp} ] \neq \: x$

$\bf \: C) \: (\sqrt{x^{3} ) ^{ \frac{2}{3} } } = (x^{ \frac{3}{2} } )^{ \frac{2}{3} } = x^{ \frac{3}{2} \times \frac{2}{3} } [ \therefore( {a}^{m} )^{n} = {a}^{mn} ] \: = x$

$\bf \: D) \: x ^{ ^{ \frac{12}{7} } } \times x^{ \frac{7}{12} } \: = {x}^{ \frac{12}{7} + \frac{7}{12} } [ \therefore {a}^{m} \times \: {a}^{n} = {a}^{m + n} ]$

$\bf {x}^{ \frac{144 \: + \: 49}{64} } = x^{ \frac{193}{84} } \neq \: x$

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$\red{Hope \ it's \ helps \ you}$