orWatch a videoSimplify. Express your answer as the given base raised to a single exponent.(94)8

1. Break Down the Problem

The problem requires simplifying the expression $(94)^8$ into a form where a single base is raised to one exponent.

2. Relevant Concepts

When simplifying expressions involving exponents, we can use the properties of exponents, specifically:

• $(a^m)^n = a^{m \cdot n}$

3. Analysis and Detail

In this case, we can express $94$ as a product of its base: $94 = 94^1$ Then, apply the exponent properties: $(94)^8 = (94^1)^8 = 94^{1 \cdot 8} = 94^8$

4. Verify and Summarize

The expression is already in the simplest form, and no calculations are necessary aside from re-applying the properties of exponents.

Final Answer

The simplified form of $(94)^8$ is $94^8$.