Question

Simplify the expression √9x^3/25y^2 and please be sure to explain your steps!

Simplify the expression ∛81x^7y^9z^5 and please show your work!


Thank you to anyone who helps, I need to get this done tonight!

Answer 1

1. 3x/5y

3.

Explanation:

`\sqrt{(9x^2)/(25y^2) }`

For this, you're taking the square root of the top and bottom of the fraction. It could also look something like this:

`(√(9x^2) )/(√(25y^2) )`

We know know that the square is defined as something multiplied by itself, so, the sqrt of 9x² is ±3x

because (3x)(3x) = 9x²

Denominator simplifies to ±5y

because (5y)(5y) = 25y^2

Thus you end up with:

`(3x)/(5y)`

NEXT::

`\sqrt[3]{81x^7y^9x^5}`

For this, change the problem into the following:

`\sqrt[3]{81} \sqrt[3]{x^7} \sqrt[3]{y^9} \sqrt[3]{z^5}`

Then, simplify each as shown in the photo below.