Expressing 343 in Exponential Notation

To express the number 343 in exponential notation, we need to understand the concept of exponents and powers.

Exponents and Powers:
- An exponent, also known as a power, is a number that tells us how many times a base number should be multiplied by itself.
- In exponential notation, a number is expressed as the product of a base and an exponent.

For example, in the expression 2^3, the base is 2 and the exponent is 3. It means that 2 should be multiplied by itself 3 times: 2 * 2 * 2 = 8.

Expressing 343 in Exponential Notation:
To express the number 343 in exponential notation, we need to find a base and an exponent that, when multiplied together, give us 343.

Prime Factorization of 343:
To find the base and exponent, we can start by finding the prime factors of 343.

343 can be written as a product of prime factors: 7 * 7 * 7.

Therefore, 343 can be expressed as 7^3.

Explanation:
- The number 343 can be expressed as 7^3.
- The base is 7, and the exponent is 3.
- It means that 7 should be multiplied by itself 3 times: 7 * 7 * 7 = 343.

Summary:
- Exponential notation is a way to express a number as the product of a base and an exponent.
- To express 343 in exponential notation, we found that 343 can be expressed as 7^3.
- The base is 7, and the exponent is 3.
- It means that 7 should be multiplied by itself 3 times: 7 * 7 * 7 = 343.