Question

$(-1)^{150 } \times \sqrt {625}=?$

• A. 15
• B. 25
• C. −15
• D. −25

Answer 1

Answer:

B. 25

1. Evaluate $(-1)^{150}$

• When $-1$ is raised to an even power, the result is always $1$.

• When $-1$ is raised to an odd power, the result is always $-1$.

• Since $150$ is an even number, $(-1)^{150} = \mathbf{1}$.

2. Evaluate $\sqrt{625}$

• The square root of $625$ is the number that, when multiplied by itself, equals $625$.

• Since $25 \times 25 = 625$, then $\sqrt{625} = \mathbf{25}$.

3. Final Calculation

Now, multiply the two results together:
$1 \times 25 = \mathbf{25}$

Final Answer: 25