Question

Simplify (2y^5)^3

Answer 1

What do you not understand how to do?

Answer 2

Do you multiply the indecise?

Answer 3

I am not familiar with that term.

Answer 4

The powers

Answer 5

You would yes, but you also have to multiply something else first.

Answer 6

Do you multiply everything in the brackets by itself?

Answer 7

You multiply the outside power by everything inside.

Answer 8

So you would get \[2^{3}(y ^{5})^{3}\]

Answer 9

Then when you simplify further from there it would go into
\[2^{3}(y ^{15})\]

Answer 10

2 to the 3rd power would then make it \[8(y ^{15})\]

Answer 11

\[\large (a^c \times b^d)^x = a^{c x} \times b^{dx}\]

Answer 12

Then you just multiply it making it \[8y ^{15}\]