kandr kandr
  • 01-04-2019
  • Mathematics
contestada

What is the value of b in the equation below?

What is the value of b in the equation below class=

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Rose19
Rose19 Rose19
  • 01-04-2019

I'm not 100% but i think its A: 3

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carlosego
carlosego carlosego
  • 21-04-2019

For this case we have that by definition of power properties:

[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]

We have the following expression:

[tex]\frac {5 ^ 6} {5 ^ 2} = a ^ b[/tex]

It can be rewritten as:

So:

[tex]\frac {5 ^ 6} {5 ^ 2} = 5 ^ {6-2} = 5 ^ {4} = a ^ b[/tex]

So, [tex]b = 4\ and\ a = 5[/tex]

Answer:

Option B

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