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Question
Simplify:
`((2^5)^2 xx 7^3)/(8^3 xx 7)`
Solution
`((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)` ...[∵ (am)n = amn]
= `(2^10 xx 7^3)/((2^3)^3 xx 7)`
= `(2^10 xx 7^3)/(2^(3 xx 3) xx 7)` ...[∵ (am)n = amn]
= `(2^10 xx 7^3)/(2^9 xx 7)`
= `2^(10 - 9) xx 7^(3 - 1)` ...(am ÷ an = am - n)
= 21 × 72
= 2 × 7 × 7
= 98
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