Question

Choose the correct simplification of the expression (6x2y)2(y2)3.

12x4y8

36x4y5

36x4y8

12x2y7

Answer 1

The easiest way is to start simplifying it and see where you end up ;)
Start with getting rid of the second exponent outside of the parentheses, then the multiplication by 2, and then you should end up with two terms in parentheses you can multiply away ;)

Answer 2

So,

\[(6x2y) * 2(y^{2})^{3}\]

\[\rightarrow (6x2y) * 2(y^{5})\]

And then just multiply the left parentheses by 2y^5.

Answer 3

so option c would be right?

Answer 4

Or, wait - is the original

\[(6x2y)^{2} (y^{2})^{3}\]

Meaning the 2 between the parentheses is an exponent? That' would be different of course. Take care of the exponents first, then multiply the terms that remain.

Answer 5

Please write out the original in the equation editor - or, if something is an exponent, prepend it with ^, so we can tell exponents from products :)

Answer 6

But it's simple, really - just follow order of operations. Exponents first, then multiplication/division, then addition/subtraction. And remember, an exponent of two means simply multiplying the term that is exponentiated by itself :)

Answer 7

yes thats the right one and thanks