rileypryke rileypryke
  • 12-10-2020
  • Mathematics
contestada

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

Respuesta :

ZJSG09112007
ZJSG09112007 ZJSG09112007
  • 12-10-2020

Answer:

5/2

Step-by-step explanation:

[tex] {( \frac{4}{25} )}^{ - \frac{1}{2} } [/tex]

Apply indices rule and Simplify

[tex] \frac{1}{ {( \frac{4}{25} )}^{ \frac{1}{2} } } = \frac{1}{ \sqrt{ \frac{4}{25} } } = \frac{1}{ \frac{2}{5} } \\ = \frac{1}{1} \div \frac{2}{5} [/tex]

[tex] = \frac{1 \times 5}{1 \times 2} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} [/tex]

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