Question

Find the simplified product: 2sqrt(5x ^ 3) * (- 3sqrt(10x ^ 2)); - 30sqrt(2x ^ 5); - 30x ^ 2 * sqrt(2x); - 12x ^ 2 * sqrt(5x); - 6sqrt(50x ^ 5)

Answer 1

To find the simplified product of 2sqrt(5x^3) * (-3sqrt(10x^2)), we can use the property of exponents that states the product of two numbers with the same base is equal to the base raised to the sum of the exponents

Step-by-step explanation:

To find the simplified product, we can use the property of exponents that states the product of two numbers with the same base is equal to the base raised to the sum of the exponents. In this case, we have:

2√(5x^3) * (-3√(10x^2))

2 * (-3) * √(5x^3) * √(10x^2)

-6√(5x^3) * √(10x^2)

-6√(5 * x^3 * 10 * x^2)

-6√(50x^5)

So, the simplified product is -6√(50x^5).