adelos adelos
  • 14-12-2020
  • Mathematics
contestada

The expression ( x 22)( x 7)3 is equivalent to xp . What is the value of p ?

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 14-12-2020

Answer:

p = 43

Step-by-step explanation:

I assume you mean an expression with exponents.

In the future, for a to the n power use a^n.

Recall the following two rules of exponents:

[tex] x^a \times x^b = x^{a + b} [/tex]

[tex] (x^a)^b = x^{ab} [/tex]

Now we can answer your question.

[tex] (x^{22})(x^7)^3 = [/tex]

[tex]= (x^{22})(x^{21})[/tex]

[tex] = x^{43} [/tex]

Since

[tex] x^{43} = x^p [/tex]

then

p = 43

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