oliviannaoliver1234 oliviannaoliver1234
  • 22-01-2024
  • Mathematics
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Which of the following is equivalent to 5/49?

Which of the following is equivalent to 549 class=

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cmrc78
cmrc78 cmrc78
  • 22-01-2024

Answer:

[tex]5(7^{-2})[/tex]

Step-by-step explanation:

Observe that the expression of the last option is equivalent to [tex]5*\frac{1}{7^{2} }[/tex] by the laws of exponents [tex]a^{-b} = \frac{1}{a^{b}}[/tex].

Further, [tex]7^{2} = 49[/tex] so [tex]\frac{5}{49} = 5 * \frac{1}{49} = 5* \frac{1}{7^{2}} = 5* (7^{-2})[/tex]

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