9) Convert the number 2401 into an expon Answer: 2401= Duestion 3 Inade 10)

## Step 1: Prime Factorization of 2401<br />### We find the prime factors of 2401 by repeatedly dividing by the smallest prime number that divides evenly. 2401 is not divisible by 2, 3, or 5. Dividing by 7, we get $2401 = 7 \times 343$. Then $343 = 7 \times 49$, and $49 = 7 \times 7$. Thus, $2401 = 7 \times 7 \times 7 \times 7$.<br /><br />## Step 2: Express as a Power of a Prime<br />### Since 2401 is the product of four 7s, we can express it as an exponent: $2401 = 7^4$.