determine whether each equation is true or false.\ntrue false\n$5^{2}=2^{5}$\n$5^{2}=5\times5$\n$2^{5}=5 + 5$

Explanation:

Step1: Calculate $5^2$

$5^2=5\times5 = 25$

Step2: Calculate $2^5$

$2^5=2\times2\times2\times2\times2=32$

Step3: Check $5^2 = 2^5$

Since $25\neq32$, the equation $5^2 = 2^5$ is false.

Step4: Check $5^2 = 5\times5$

As calculated in Step1, $5^2=5\times5$, so this equation is true.

Step5: Check $2^5 = 5 + 5$

Since $2^5 = 32$ and $5+5=10$, and $32\neq10$, the equation $2^5 = 5 + 5$ is false.

Answer:

$5^2 = 2^5$: False $5^2 = 5\times5$: True $2^5 = 5 + 5$: False