Question

Properties of rational exponents quick check use the properties of exponents which expression is equivalent to x16.x16

Answer 1

To simplify the expression \( x^{16} \cdot x^{16} \) using the properties of exponents, we can apply the property that states when multiplying two expressions with the same base, we add the exponents.

So, we have:

\[
x^{16} \cdot x^{16} = x^{16 + 16} = x^{32}
\]

Therefore, the expression equivalent to \( x^{16} \cdot x^{16} \) is \( x^{32} \).