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amid [387]
2 years ago
8

Simplify the expression. (x 3/2)6

Mathematics
1 answer:
Sliva [168]2 years ago
6 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:

(x^{\frac{3}{2}})^6=x^9

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