Question

What is the following sum?

RootIndex 3 StartRoot 125 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot + RootIndex 3 StartRoot 27 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot

Answer 1

The sum is 8x^10y^13

Step-by-step explanation:

The sum is

RootIndex 3 StartRoot 125 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot + RootIndex 3 StartRoot 27 x Superscript 10 Baseline y Superscript 13 Baseline EndRoot

First, we can simplify each radical. The cube root of 125 is 5 and the cube root of 27 is 3. So the expression becomes:

5x^10y^13 + 3x^10y^13

Now, we can combine like terms. Since both terms have the same variables raised to the same powers, we can add the coefficients:

(5 + 3)x^10y^13

This simplifies to:

8x^10y^13