exam Maths Puzzle Numerical Ability

Checking my math: Can someone shows the steps and solution? Thanks

Simplify using the power rule.

5y^3(y^5)^2
____________
10y^5(y^2)^6

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exam Other Question

I am stuck on correct answer for:

one of the factors of x^2 + x - 6 is:

I believe the answer is x + 3, am I correct? If not, what is correct answer?

I am not using any specific book. I am just practicing...
8-[3-2(9-7)-12]-11=
simplify by using order of operations, I am confused any help I will deeply appriciate