<span>First we have to find the sum and the difference of those polynomials- The sum is: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) + ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5 - 2 x^3y^4 - 7xy^3 - 8 x^5y + 2 x^3y^4 + xy^3 = - 5 x^5y - 6 xy^3. And the difference: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) - ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5y - 2 x^3y^4 - 7 xy^3 + 8 xy^5 - 2 x^3y^4 - xy^3 = 11 xy^5 - 4 x^3y^4 - 8xy^3. The highest exponent in both polynomials is 5. Answer: The degree of the polynomials is 5.</span>
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
Answer:
3^2 * 3^5 = 3^7
Step-by-step explanation:
I assume you mean this:
If so, then the rule is that when you multiply two numbers with the same base, you give the same base and add the exponents.
Answer: 
Step-by-step explanation:
If you took the nth root of x, it is the same as raising x to the power of 1/n. Therefore:
![\sqrt[7]{x^{2} } = (x^{2} )^{1/7} = (x^{\frac{2}{7}})\\\sqrt[5]{x^{3} } = (x^{3} )^{1/5} = (x^{\frac{3}{5}})](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B2%7D%20%7D%20%20%3D%20%28x%5E%7B2%7D%20%29%5E%7B1%2F7%7D%20%3D%20%28x%5E%7B%5Cfrac%7B2%7D%7B7%7D%7D%29%5C%5C%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%20%7D%20%20%3D%20%28x%5E%7B3%7D%20%29%5E%7B1%2F5%7D%20%3D%20%28x%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%29)
And multiply:
