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Question
Simplify:
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
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Solution
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) = ((7)^2 xx z^-3)/(7^-3 xx 10 xx z^-5)`
= `((7)^(2 + 3) xx z^(-3 + 5))/10` ...[∵ am ÷ an = (a)m – n]
= `((7)^5 z^2)/10`
= `7^5/10 z^2`
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