Final answer:
To find the value of the expression, we can simplify each part separately. 6⁷-:6² simplifies to 6⁵, and 6⁵ (6³)⁰ simplifies to 6⁵. Therefore, the value of the expression is 6⁵.
Step-by-step explanation:
To find the value of the expression 6⁷-:6² and 6⁵ (6³)⁰, we can simplify each part separately.
First, let's evaluate 6⁷-:6². To do this, we subtract the exponents since they have the same base: 7 - 2 = 5. So, 6⁷-:6² simplifies to 6⁵.
Next, let's simplify 6⁵ (6³)⁰. Any number raised to the power of 0 is equal to 1. So, (6³)⁰ is 1. Therefore, 6⁵ (6³)⁰ simplifies to 6⁵ × 1, which is just 6⁵.
Therefore, the value of the expression is 6⁵.