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qaws [65]
3 years ago
5

Simplify the expression.

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

For this case we must simplify the following expression:(x ^ {\frac {3} {2}}) ^ 6

We have that by definition of properties of powers that is fulfilled:

(a ^ n) ^ m = a ^ {n * m}

Then, rewriting the expression:

x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9

ANswer:

Option D

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Could you please help me with this problem?
NeTakaya

First Question:

Number of trapezoids - 6

Perimeter - 72

3 + 3 + 3 + 6 = <u>15</u>

3 + 3 + 3 + 3 + 6 + 6 = <u>24</u>

3 + 3 + 6 + 3 + 3 + 6 + 3 + 6 = <u>33</u>

15 + 24 + 33 = <u>72</u>

Second Question:

Number of cubes - 6

Surface area - 24 (probably 480 since it said <em>area</em>)

first cube - 6 ones

second cube - 8 ones

Third cube - 10 ones

you could do 6 + 8 + 10 = 24 or add up all the ones (1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1) and you will still get 24

(It said <em>area</em>, and area means to multiply so maybe its 6 x 8 x 10 = 480 and not 6 + 8 + 10)

Anyways have a good day/night :) I might be wrong, but I hope I helped at least a little

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