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By what number should (–8)–3 be multiplied so that the product may be equal to (–6)–3? - Mathematics

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Question

By what number should (–8)–3 be multiplied so that the product may be equal to (–6)–3?

Sum

Solution

Let x be the number multiplied with (–8)–3 to get the product equal to (–6)–3.

⇒ x × (–8)–3 = (–6)–3

⇒ `x = (-6)^-3/(-8)^-3`

= `(-8)^3/(-6)^3`

= `512/216`

= `64/27`

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Chapter 8: Exponents and Powers - Exercise [Page 274]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 176. | Page 274

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