Math, asked by chinna1526, 1 day ago

if1fX = (3/2) ^ 3 * (2/3) ^ - 4 find the value of x ^ 2​

Answers

Answered by larshikhakrishnan
0

Given:

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

To Find:

x^{2}

Answer:

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

using\;formulae: a^{m} *a^{n} = a^{m+n}

x = (\frac{3}{2})^{3+4} = (\frac{3}{2})^{7}

x^{2} = ((\frac{3}{2})^{7}})^{2}

using\; formulae: (a^{m})^{n}  = a^{m*n}

x^{2} = ((\frac{3}{2})^{7}})^{2} =(\frac{3}{2})^{7*2}}=(\frac{3}{2})^{14}}

x^{2} = (\frac{3}{2})^{14}

Extra Question with the solution:

if\; the \; value\; of\; x = (\frac{3}{2})^{2} *(\frac{2}{3})^{-4}, \;find\;the\;value\;of\;x^{-2}

solution:\;x^{-2} =(\frac{2}{3})^{12}

Hope my answer helps you

Thank you!✌

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