Question

सरल कीजिए:

`((2^5)^2 xx 7^3)/(8^3 xx 7)`

Answer 1

`((2^5)^2 xx 7^3)/(8^3 xx 7)`

= `(2^(5  xx  2) xx 7^3)/((2 xx 2 xx 2)^3 xx 7)`        ...[∵ (a^m)ⁿ = a^mn]

= `(2^10 xx 7^3)/((2^3)^3 xx 7)`

= `(2^10 xx 7^3)/(2^(3  xx  3) xx 7)`        ...[∵ (a^m)ⁿ = a^mn]

= `(2^10  xx 7^3)/(2^9 xx 7)`

= `2^(10  -  9) xx 7^(3  -  1)`       ...(a^m ÷ aⁿ = a^{m - n})

= 2¹ × 7²

= 2 × 7 × 7

= 98