Simplify to a single power of 6:
6, to the power 6 , times, 6, squared
6
6
×6
2
To simplify this expression, we can combine the exponents:
6^6 * 6^2 = 6^(6+2) = 6^8
Therefore, the simplified expression is 6^8.
To simplify this expression, we need to first calculate 6 to the power of 6 and then multiply it by 6 squared.
6 to the power of 6 is written as 6^6, which means multiplying 6 by itself six times:
6^6 = 6 × 6 × 6 × 6 × 6 × 6 = 46656.
Now, we need to multiply this result by 6 squared. 6 squared is 6^2, which is equal to 6 × 6 = 36.
Therefore, the final expression is 46656 × 36. To simplify this, multiply the numbers together:
46656 × 36 = 1679616.
So, the simplified expression is 1679616, which is 6 raised to the power of 6 times 6 squared.
Simplify to a single power of 3:
start fraction, 3, to the power 6 , divided by, 3, to the power 4 , end fraction
3
4
3
6
To simplify this expression, we can subtract the exponents:
3^6 / 3^4 = 3^(6-4) = 3^2
Therefore, the simplified expression is 3^2.
To simplify to a single power of 6, we need to add the exponents when multiplying powers with the same base. Let's break it down:
First, we have 6 raised to the power of 6, denoted as 6^6. This means we need to multiply 6 by itself 6 times:
6^6 = 6 * 6 * 6 * 6 * 6 * 6 = 46656
Next, we have 6 squared, denoted as 6^2. This means we need to multiply 6 by itself once:
6^2 = 6 * 6 = 36
Finally, we have to multiply these two results together:
46656 * 36 = 1679616
So, the simplified expression is 1679616.