By what number (-8) to the power -1 should be multiplied so that the product becomes equal to (-6) to the power -1 ?
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Let's assume the required number as x
According to Question,
(- 8)⁻¹ × x = (- 6)⁻¹
⇒ ( 1 / - 8 ) × x = ( 1 / - 6)
⇒ x = ( 1 / - 6 ) × ( - 8 / 1 )
⇒ x = ( 1 / - 3 ) × ( - 4 / 1 )
⇒ x = ( - 4 / - 3 )
⇒ x = 4 / 3
As, the required number is x
Hence, the required number is ( 4 / 3 )
Some things to know -
(- 8)⁻¹ = ( 1 / - 8)¹ and Vice Versa
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According to Question,
(- 8)⁻¹ × x = (- 6)⁻¹
⇒ ( 1 / - 8 ) × x = ( 1 / - 6)
⇒ x = ( 1 / - 6 ) × ( - 8 / 1 )
⇒ x = ( 1 / - 3 ) × ( - 4 / 1 )
⇒ x = ( - 4 / - 3 )
⇒ x = 4 / 3
As, the required number is x
Hence, the required number is ( 4 / 3 )
Some things to know -
(- 8)⁻¹ = ( 1 / - 8)¹ and Vice Versa
✪ Be Brainly ✪
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