Question

$\frac{ {(49)}^{ \frac{3}{2} } - {(49)}^{ \frac{5}{2} } }{49}$
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Answer 1

$\huge\mathbb{\underline{SOLUTION:-}}$

$\sf\:\: \dfrac{(49){}^{\frac{3}{2}}-(49){}^{\frac{5}{2}}}{49}$

Now

$\sf\underline{\purple{\:\:\:\: Solution\:\:\:\:}}$

$\sf :\implies \dfrac{(7){}^{\cancel2\times \frac{3}{\cancel2}}-(7){}^{\cancel2\times \frac{5}{\cancel2}}}{49}\\ \\ \sf:\implies \dfrac{(7){}^{3}-(7){}^{5}}{49}\\ \\ \sf:\implies\dfrac{343-16807}{49}\\ \\ \sf:\implies \cancel{\dfrac{(-16464)}{49}}\\ \\ \sf:\implies (-336)$

The answer of Your question is (-336)

Answer 2

$49 \frac{3}{2} - 49 \ \frac{5}{2} / 49$

$7 ^{2} \ \times \frac{3}{2} -/7 {}^{2} \times \frac{5}{2} = 7 {}^{2}$

$7 {}^{3} - 7 {}^{5 } = 7 {}^{2}$

$343 - </strong><strong>1</strong><strong>6</strong><strong>8</strong><strong>0</strong><strong>7</strong><strong>/</strong><strong> 49$

=-16464/49

=-336