Question

Simplify: (3y)^4 * y^-2

Answer 1

When something is raised to a power, multiply the powers. And a negative exponent, flip it.
\[\Huge (a^x)^y=a^{x*y}\]
\[\LARGE x^{-a}=\frac{1}{x^a}\]

Answer 2

I don't really understand what you're saying.

Answer 3

\[(3y)^4*y^{-2}\]Let's work the \((3y)^4\) part first. Do you know that \((ab)^n = a^n*b^n\)?

Answer 4

\[\LARGE (3y)^4=3^{1*4}(y^{1*4})\]

Answer 5

So it would be \[3^{4}*y ^{4}\] for the first part

Answer 6

Yes. And when you multiply two items having exponents and the same base, such as \(y^4*y^{-2}\) you keep the base and add the exponents: \(a^m*a^n = a^{m+n}\)

Answer 7

Okay so what should I do next??

Answer 8

Okay I'm pretty sure the answer is 3y^2. Can anyone verify this?

Answer 9

No, it's not. \(3^4*y^4*y^{-2} = 3^4*y^{4-2} = \)

Answer 10

My mistake, sorry xD

Answer 11

@lasoftballchic101 what's your new, corrected answer?