List three different ways to write 511 as the product of two powers
He means 5 to the 11th power
since the only two factors are 7 and 73, I'm not sure what is going on here.
ya can i get help on that
To determine three different ways to write 511 as the product of two powers, we need to express 511 as a product of two numbers raised to a power. Let's start with the prime factorization of 511.
The prime factorization of 511 is: 7 * 73.
Now, let's explore three different ways to express 511 as the product of two powers:
1. 511 = 7^1 * 73^1: This representation means that we can write 511 as the product of 7 raised to the power of 1 and 73 raised to the power of 1.
2. 511 = 1^511 * 511^1: In this representation, we have 511 as the product of 1 raised to the power of 511 (which is still 1) and 511 raised to the power of 1.
3. 511 = (7^2)^(73/2): This representation utilizes exponent rules. We can rewrite 511 as (7*7)^(73/2). This means that 511 can also be expressed as the square of 7 raised to the power of half of 73.
These are three different ways to write 511 as the product of two powers: 7^1 * 73^1, 1^511 * 511^1, and (7^2)^(73/2).