How do I figure this problem out10p to the 4th power divided by 6p
try dividing the ten by six and the p^4 by p^1 separately, then put them together
The question is fuzzy!
We do not know, without parentheses, whether the power applies to the whole expression or just the variable p.
To simplify the expression "10p to the 4th power divided by 6p," you can follow the rules of exponents and division.
Step 1: Simplify the numerator: 10p to the 4th power.
When you have a power raised to a power, you multiply the exponents.
10p to the 4th power can be written as (10p)^(4).
(10p)^(4) means you raise both the 10 and the p to the 4th power.
So, (10p)^(4) is equal to 10^(4) multiplied by p^(4).
10^(4) is simply 10 times 10 times 10 times 10, which is 10,000.
p^(4) means you multiply p by itself four times, which is p times p times p times p, or p^4.
Simplifying the numerator, 10p to the 4th power becomes 10,000p^4.
Step 2: Simplify the denominator: 6p.
The denominator, 6p, cannot be simplified further.
Step 3: Divide the two simplified terms:
Now, you can divide the numerator, 10,000p^4, by the denominator, 6p.
Dividing in this case means we will divide the numerical coefficient (10,000) by the numerical coefficient (6) and divide the variable (p^4) by the variable (p).
Dividing 10,000 by 6 yields 1666.67 (rounded to the nearest hundredth).
Dividing p^4 by p leaves us with p^(4-1), which simplifies to p^3.
Combining the two results, the simplified expression is:
1666.67p^3.
Therefore, "10p to the 4th power divided by 6p" simplifies to "1666.67p^3."