Question

3
which of the following is equivalent to 25?
a. $5^2$ b. $3^3$ c. $5^5$ d. $3^5$

Explanation:

Step1: Calculate option A

Recall the exponent rule \(a^n=\underbrace{a\times a\times\cdots\times a}_{n\text{ times}}\). For \(5^2\), we have \(5\times5 = 25\).

Step2: Calculate option B

For \(3^3\), using the exponent rule, \(3\times3\times3=27
eq25\).

Step3: Calculate option C

For \(5^5\), \(5\times5\times5\times5\times5 = 3125
eq25\).

Step4: Calculate option D

For \(3^5\), \(3\times3\times3\times3\times3=243
eq25\).

Answer:

A. \(5^2\)