the expression (x^22)(x^7)^3 is equivalent to x^p. what is the value of p?

Answer 1

To simplify the expression (x^22)(x^7)^3, we use the rule of exponents which states that when raising a power to a power, we multiply the exponents.

In this case, for (x^7)^3, we have 7 * 3 = 21.

So the expression becomes x^22 * x^21.

To multiply the two terms with the same base (x), we add the exponents.

So the simplified expression is x^(22 + 21) = x^43.

Therefore, the value of p is 43.