Question

Simplify: (3x^2 y^3)^2

Answer 1

When you have an exponent on terms that are MULTIPLIED together, you can multiply each of the exponents of the terms inside the parentheses!

So, \[ \left( 3x^{2}y^{3} \right)^2 = 3^2x^{2*2}y^{3*2}\]

Note that this doesn't were for terms that are ADDED together. For example,
\[ \left(3x^2+y^3 \right)^2 \neq 3^2x^{2*2}+y^{3*2}\]
When you see addition, you have to FOIL

Does this answer your question?

Answer 2

Testing

Answer 3

Sorry the replies weren't working on the safari browser

Answer 4

Ok so for the exponent if (x^2)^2 is it 2+2 or 2x2 I guess in that seance either way is 4 but if it's x^3)^2 then wich would it be?

Answer 5

You multiply them in this case. Because:
\[ \left(x^3 \right)^2 = x^3x^3 = x^6 \]

Answer 6

So if you see x's next to each other like
\[ x^2x^3 \] then you'll want to add the exponents
\[ x^2 x^3 = x^{2+3} = x^5 \]

When you see exponents raise to a power, you multiply!
\[ \left(x^2\right)^3 = x^{2*3} = x^6 \]

Answer 7

Oh ok sorry that took me minute to catch I'm usually really good at math I'm just rusty since I haven't done math in 3 years and now I'm jumping back into grade 12u functions so now I'm trying to do the review questions and I'm stuck on all of them lol

Ok so

(3x^2y^3)^2
= 3x^4 y^6

is there any thing else I can do with this?

Answer 8

haha no worries.

\[ 3x^4y^6 \]
is actually as far as you can simplify in this case

Answer 9

Oops! you forgot to apply the exponent to the 3 too!

it should be

\[ 9x^4y^6 \]

Answer 10

Ok thanks now to start a bunch of other questions lol