Simplify: ((25) 2 × 73 )/ (83 × 7)Simplify: ((25) 2 × 73 )/ (83 × 7)

Dear Student

8³ can be written as = (2 × 2 × 2)³
= (2³)³
We have,
= ((2⁵)² × 7³)/ ((2³)³ × 7)
= (2^{5 x 2} × 7³)/ ((2^{3 x 3} × 7) ... [∵(a^m)ⁿ = a^mn]
= (2¹⁰ × 7³)/ (2⁹ × 7)
= (2^{10 – 9}× 7^{3 – 1}) ... [∵a^m ÷ aⁿ = a^{m – n}]
= 2 × 7²
= 2 × 7 × 7
= 98

​Thanks