If $x^{4}=3$, find the value of:
a $x^{8}$
b $x^{4}-1$

Answer

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Answer

Final Answer: a) The value of $x^{8}$ is $\boxed{9}$. b) The value of $x^{4}-1$ is $\boxed{2}$.

Steps

Step 1 ：Given that $x^{4}=3$

Step 2 ：Square the given equation to find the value of $x^{8}$, which gives us $(x^{4})^{2}=3^{2}$, simplifying to $x^{8}=9$

Step 3 ：Subtract 1 from the given equation to find the value of $x^{4}-1$, which gives us $x^{4}-1=3-1$, simplifying to $x^{4}-1=2$

Step 4 ：Final Answer: a) The value of $x^{8}$ is $\boxed{9}$. b) The value of $x^{4}-1$ is $\boxed{2}$.