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# Powers: Reverse Rules - Raising a Power to Another Power

If \$\$x^2=y\$\$, then \$\$x^6\$\$ must equal which of the following?
Incorrect. [[Snippet]]
Correct. [[Snippet]] Express \$\$x^6\$\$ in terms of \$\$x^2\$\$. >\$\$x^6= (x^2)^3\$\$ Since \$\$x^2=y\$\$, you can conclude that \$\$(x^2)^3 = y^3\$\$. Hence, this is the correct answer.
Incorrect. [[Snippet]]
Incorrect. [[Snippet]]
Incorrect. [[Snippet]]
\$\$2y\$\$
\$\$3y\$\$
\$\$2y^2\$\$
\$\$y^3\$\$
\$\$2y^3\$\$