oliviapat123412 oliviapat123412
  • 21-09-2018
  • Mathematics
contestada

If (9^2)^p = 9^8, what is the value of p?

Respuesta :

oob2345 oob2345
  • 21-09-2018

your answer will be 4


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Аноним Аноним
  • 21-09-2018

Use the power rule

[tex] (a^b)^c = a^{bc} [/tex]

To rewrite the equation as

[tex] 9^{2p} = 9^8 [/tex]

So, the two exponents have to be the same:

[tex] 2p = 8 \iff p=4 [/tex]

Answer Link

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