Question

which expression is equivalent to ((x^4)(x^4))?
a (x^{16})
b (x^{-4})
c (x^4)
d (x^8)

Explanation:

Step1: Simplify the power term

First, apply the power of a power rule: $(x^a)^b = x^{a \times b}$. For $(x^3)^4$, this gives $x^{3 \times 4} = x^{12}$.

Step2: Multiply the like terms

Next, apply the product of powers rule: $x^a \times x^b = x^{a + b}$. Multiply $x^3$ and $x^{12}$: $x^{3 + 12} = x^{15}$.

Answer:

A. $x^{15}$