which expression is equivalent to $x^{6}-9$?\n$(x^{3})^{2}-3^{3}$\n$(x^{3})^{2}-3^{2}$\n$(x^{3})^{3}-3^{2}$
which expression is equivalent to $x^{6}-9$?\n$(x^{3})^{2}-3^{3}$\n$(x^{3})^{2}-3^{2}$\n$(x^{3})^{3}-3^{2}$
Answer
Explanation:
Step1: Apply power - of - a - power rule
According to the power - of - a - power rule $(a^m)^n=a^{mn}$. For $x^6$, we can write it as $(x^3)^2$ since $3\times2 = 6$. And $9=3^2$.
Step2: Rewrite the expression
The expression $x^6 - 9$ can be rewritten as $(x^3)^2-3^2$.
Answer:
$(x^3)^2 - 3^2$