Reduce the rational expression to lowest terms
1/15abc (5a^3b^5c^2)
=3a^2b^4c
Is this right. I reduced,and cancelled out exponents.
1/15abc (5a^3*b^5*c^2)
"*" indicates multiplication. Combine the a,b and c terms.
1/15(5a^4*b^6*c^3) = 1/3 (a^4*b^6*c^3)
Since the 15 is in the denominator, I don't know hw you got 3 ratherthan 1/3.
However, if the formula is
1/(15abc)*(5a^3*b^5*c^2) =
1/3 (a^2*b^4*c)
Without the multiplication indicators, your answer is unclear as to whether it is b^4*c or b to the 4c power.
You need to make your formulas clearer.
I hope this helps. Thanks for asking.
To reduce the rational expression to the lowest terms, you need to cancel out common factors between the numerator and the denominator.
Given: 1/15abc * (5a^3b^5c^2)
To cancel out common factors, you look for factors that appear both in the numerator and the denominator. Let's break down the factors:
Numerator: 1
Denominator: 15abc * (5a^3b^5c^2)
The common factors between the numerator and the denominator are:
1, a, b, and c.
Canceling out these common factors will simplify the expression:
1/15abc * (5a^3b^5c^2) = (1/a) * (1/15) * (1/b) * (1/c) * (5a^3b^5c^2)
Now let's multiply the remaining factors:
= (5a^3b^5c^2) / (15abc)
To simplify this expression, you can divide both the numerator and the denominator by their greatest common factor, which is 5abc:
= (a^2b^4c) / (3)
Therefore, the reduced form of the rational expression is "a^2b^4c/3".