Asked by Lais
Simplify the following expression, and write your answer using only positive exponents.
(-2r^-16)^-3
(The answer is not -8r^48)
(-2r^-16)^-3
(The answer is not -8r^48)
Answers
Answered by
Bosnian
Since:
a ⁻ ⁿ = 1 / aⁿ
(- 2 r ⁻ ¹⁶ ) ⁻ ³ = 1 / ( - 2 r ⁻ ¹⁶ )³ = 1 / [ ( - 2 )³ ∙ ( r ⁻ ¹⁶ )³ ] = 1 / ( - 8 r ⁻ ⁴⁸ ) =
( 1 / - 8 ) ∙ 1 / r ⁻ ⁴⁸ = - 1 / 8 r ⁴⁸
a ⁻ ⁿ = 1 / aⁿ
(- 2 r ⁻ ¹⁶ ) ⁻ ³ = 1 / ( - 2 r ⁻ ¹⁶ )³ = 1 / [ ( - 2 )³ ∙ ( r ⁻ ¹⁶ )³ ] = 1 / ( - 8 r ⁻ ⁴⁸ ) =
( 1 / - 8 ) ∙ 1 / r ⁻ ⁴⁸ = - 1 / 8 r ⁴⁸
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