Find the remainder when $7^{99}$ is divided by 2400.

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343

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Solution

The correct option is B 343
$\frac{7^{4}}{2400}$ gives us a remainder of 1. Thus, the remainder of $\frac{7^{99}}{2400}$ would depend on the remainder of $\frac{7^{3}}{2400} \to$ remainder = 343

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Find the remainder when 799 is divided by 2400.

The correct option is B 343742400 gives us a remainder of 1. Thus, the remainder of 7992400 would depend on the remainder of 732400→ remainder = 343

Find the remainder when $7^{99}$ is divided by 2400.

The correct option is B 343
$\frac{7^{4}}{2400}$ gives us a remainder of 1. Thus, the remainder of $\frac{7^{99}}{2400}$ would depend on the remainder of $\frac{7^{3}}{2400} \to$ remainder = 343