Question

How do I simplify (y^3)^3 without parentheses?

Answer 1

We multiply the exponents outside of the parenthesis to all the exponents inside the parenthesis.

$\sf(y^3)^3\rightarrow~y^{3\times3}\rightarrow~\boxed{\sf~y^9}$

Answer 2

We will use this property in exponents to answer your question:

$\sf{(a^b)^c=a^{b\times c}}$

So basically we multiply the exponents when it is outside of the parenthesis. So:

$\sf{(y^3)^3=y^{3\times3}}$

$\sf{=y^9}$

So your answer would be $\boxed{\sf{y^9}}$