Exponent Rules (Algebra) Q3&4 in Exercise

My understanding is that QA = y^8, which is less than y^16. Why then is my answer incorrect? The solution is even more confusing.

Same struggle with this question - (x+y)^4 should be less than x^4 \times y^4 (which is (xy)^4)

I’m so confused, pleaseee. Are we using exponent rules for these questions, or is there some other approach?

y^8 is not always less than y^{16}.

Thank you very much for responding!

I would try out different numbers. You are correct for the first question that you are comparing y^8 and y^16. However, try y = 0 and y = 2 for example to see if they differ.

Similarly, (x+y)^4 requires foiling out (x+y)(x+y)(x+y)(x+y). Instead of doing that, choose a few pairs of possible x and y values to test. Compare (x+y)^4 to x^4 x y^4 when x= 0 and y =0 and when x = 1 and y = 1 for example.

Hope that helps!