(4/25) to the power of negative 1/2

asked Nov 24, 2021 200k views

2 votes

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2 votes

Answer:

5/2

Explanation:

${( (4)/(25) )}^{ - (1)/(2) }$

Apply indices rule and Simplify

$\frac{1}{ {( (4)/(25) )}^{ (1)/(2) } } = \frac{1}{ \sqrt{ (4)/(25) } } = (1)/( (2)/(5) ) \\ = (1)/(1) / (2)/(5)$

$= (1 * 5)/(1 * 2) \\ = (5)/(2) \\ = 2 (1)/(2)$

Foggzie answered Nov 28, 2021

5.4k points

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