Rewrite each multiplication or division expression using a base and an exponent
1 answer:
Using the laws of indices , 4⁵ ÷ 4² can rewritten as 4³.
<h3>What is the result of the division in exponent form?</h3>
Given the expression; 4⁵ ÷ 4²
To perform the division operation, we use one of the laws of indices;
Given that;
- n = 4
- a = 5
- b = 2
Now, we apply the laws of indices ;
4⁵ ÷ 4² = 4⁵⁻² = 4³
Therefore, using the laws of indices, 4⁵ ÷ 4² can rewritten as 4³.
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Answer:
Step-by-step explanation:
Let . We have that
if and only if we can find scalars
such that
. This can be translated to the following equations:
1.
2.
3.
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are , but note that for this values, the third equation doesn't hold (3+2 = 5
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.