Answer:
We need to use power laws for this one.
Lets say we have
. What does this really mean?
It means we have 7
s all multiplied together.
7 times. If we expand the
, we get
![(x*x*x...*x )*(x*x*x...*x)...*(x*x*x...*x)](https://img.qammunity.org/2023/formulas/mathematics/college/z3ggujy9hg2f8506tnqd3y8pum7dbyw8d8.png)
Now, we have 5 x multiplied together 7 times. How many x is that?
its 7 * 5 x, or 35. So, it's equal to
![x^3^5](https://img.qammunity.org/2023/formulas/mathematics/college/mz6fmqcg7fuzedpldhem1e9o86yp0h5g6i.png)
This is the power law we'll need here;
![(x^a)^b = x^a^b](https://img.qammunity.org/2023/formulas/mathematics/college/x6m3abth9j7tl7ptvftvvkf1tnvmqp4heo.png)
Explanation:
![(8^5)^4 = 8^5^*^4 = 8^2^0](https://img.qammunity.org/2023/formulas/mathematics/college/t27p4hk1qk4pai4sfhg789b8i4daz73ah4.png)
which is the answer