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

Dear Student83 can be written as = (2 × 2 × 2)3= (23)3We have,= ((25)2 × 73)/ ((23)3 × 7)= (25 x 2 × 73)/ ((23 x 3 × 7) ... [∵(am)n = amn]= (210 × 73)/ (29 × 7)= (210 – 9× 73 – 1) ... [∵am ÷ an = am – n]= 2 × 72= 2 × 7 × 7= 98Thanks

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Grade 12th passAlgebra

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

Harshit Singh

5 Years agoGrade 12th pass

1 Answer

Harshit Singh

5 Years ago

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