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Simplify: 49×z-37-3×10×z-5(z≠0) - Mathematics

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Question

Simplify:

`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`

Simplify

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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Chapter 8: Exponents and Powers - Exercise [Page 257]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 98. (iii) | Page 257

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