Question

The expression (222) (27)3 is equivalent to . What is the value of p?

Answer 1

Let us revise the rules of exponents

`a^n* a^m=a^(n+m)`
`(a^n)^m=a^(nm)`

We will use these 2 rules to solve the question

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

Multiply 7 by 3, then add to the answer 22

`(x^(22))(x^(21))=x^(22+21)=x^(43)`

Now equate it by x^p

`x^p=x^(43)`

Then p = 43