Question

Which of the following is equivalent to the expression below? 54^x/6^x

Answer 1

Given:

An expression is:

$\frac{54^x}{6^x}$

Required:

Find the equivalent expression to the given expression.

Explanation:

The given expression is:

$\frac{54^x}{6^x}$

Use the exponent property as:

$\frac{a^m}{b^m}=(\frac{a}{b})^m$$\begin{gathered} \frac{54^x}{6^x}=(\frac{54}{6})^x \\ \frac{54^x}{6^x}=(9)^x \end{gathered}$

Final Answer:

Option C is the correct answer.