What will come in place of question mark in the following question? {7^{4/3} \times\sqrt^{3} 7^5}/ \sqrt^{3} 343 =?

Haryana Police Constable Model Paper 4

Question : 25 of 100

Marks: +1, -0

What will come in place of question mark in the following question?

{7^{4/3} ×√^{3} 7^5}/ √^{3} 343

Solution:

?= {7^{4/3} ×√^{3} 7^5}/ √^{3} 343

⇒?=7^{4/3}×(7^{5})^{1/3}

⇒?={7^{4/3}×7^({5×1/3})} /7^{3×1/3}

⇒?=7^{4/3+5/3-1}

⇒?=7^{2}

⇒?=49

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