Question

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

Answer 1

p = 43

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:

`x^a * x^b = x^(a + b)`

`(x^a)^b = x^(ab)`

Now we can answer your question.

`(x^(22))(x^7)^3 =`

`= (x^(22))(x^(21))`

`= x^(43)`

Since

`x^(43) = x^p`

then

p = 43