Simplify. Express your answer as the given base raised to a single exponent.

Question

(
8
11
)
2

Answer 1

To simplify the expression \((8^{11})^2\), you can use the power of a power property of exponents, which states that \((a^m)^n = a^{m \cdot n}\).

Applying this property:

\[ (8^{11})^2 = 8^{11 \cdot 2} \]

Now, compute \(11 \cdot 2\):

\[ 11 \cdot 2 = 22 \]

Thus, we have:

\[ (8^{11})^2 = 8^{22} \]

So the simplified expression is:

\[ \boxed{8^{22}} \]