with this single rational expresssion:
the exponents have me confused how to solve 2x^2/5ab +a^2u^2/10b^3k
To simplify the given rational expression, we need to combine the terms with similar variables in the numerator and denominators. Let's break it down step by step:
1. Start with the expression: (2x^2)/(5ab) + (a^2u^2)/(10b^3k)
2. To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 10ab^3k.
3. Multiply the first term's numerator and denominator by 2b^2k (to make the denominator 10ab^3k):
(2x^2 * 2b^2k)/(5ab * 2b^2k)
This simplifies to: (4b^2kx^2)/(10ab^3k)
4. Multiply the second term's numerator and denominator by 2a (to make the denominator 10ab^3k):
(a^2u^2 * 2a)/(10b^3k * 2a)
This simplifies to: (2a^3u^2)/(10ab^3k)
5. Now that both terms have the common denominator, we can add them:
(4b^2kx^2)/(10ab^3k) + (2a^3u^2)/(10ab^3k)
6. Since the fractions have the same denominator, we can combine the numerators:
(4b^2kx^2 + 2a^3u^2)/(10ab^3k)
This is the simplified form of the given rational expression.
In conclusion, the simplified form of (2x^2)/(5ab) + (a^2u^2)/(10b^3k) is (4b^2kx^2 + 2a^3u^2)/(10ab^3k).