Question

The expression (x¹⁰) (x⁴)³ is equivalent to x^p. what is the value of p?

Answer 1

The value of p is 22.

Explanation:

To simplify the expression (x¹⁰) (x⁴)³, we can use the power of a power rule, which states that when we raise an exponential expression to another exponent, we multiply the exponents. Therefore, we can write:

(x¹⁰) (x⁴)³ = x^(10) * (x^(4))^3

Simplifying the expression in the parentheses using the power of a power rule, we get:

x^(4*3) = x^12

Substituting this back into the original expression, we get:

(x¹⁰) (x⁴)³ = x^(10) * x^12

Using the product of powers rule, we can add the exponents:

x^(10+12) = x^22

Therefore, the expression (x¹⁰) (x⁴)³ is equivalent to x^22, and the value of p is 22.