40c to the 5th power over 10c to the 4th power in lowest terms?
(10c)^4 cancels out 4 of the terms of (40c)^5 power to give:
40c * 4 * 4 * 4 * 4 = ?
I hope this helps.
11 to 15
To simplify the expression (40c^5) / (10c^4) to its lowest terms, we need to simplify both the numerator and the denominator.
First, let's simplify the numerator:
To simplify (40c^5), observe that the coefficient (40) and the variable (c) are multiplied together. Since there is no similar term in the denominator, the numerator cannot be simplified further.
Next, let's simplify the denominator:
To simplify (10c^4), we need to split it into its coefficient and variable parts. The coefficient is 10, and the variable is c^4. We can then write (10c^4) as (10 * (c * c * c * c)).
Now, let's substitute our simplified expressions into the original expression:
(40c^5) / (10c^4) = (40) / (10 * (c * c * c * c))
Next, we can simplify the numerator and denominator separately:
The numerator, 40, is divisible by 10, so we can rewrite it as 4.
The denominator can be simplified by canceling out one of the c terms from the numerator with one of the c terms from the denominator. After canceling, we are left with (c * c * c) in the denominator.
Thus, the simplified expression is:
(40c^5) / (10c^4) = (4) / (c * c * c)
Therefore, the simplified expression in its lowest terms is 4 / (c^3).