SOLUTION: Part 1: Explain, using complete sentences, how to simplify the expression below. Part 2: What is the simplified expression? (3x3y4)2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Part 1: Explain, using complete sentences, how to simplify the expression below. Part 2: What is the simplified expression? (3x3y4)2      Log On


   



Question 536433: Part 1: Explain, using complete sentences, how to simplify the expression below.
Part 2: What is the simplified expression?
(3x3y4)2

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is this +%283x%5E3%2Ay%5E4%29%5E2+ ?
If this is the problem, it is equal to:
+%28+3x%5E3%2Ay%5E4+%29%2A%28+3x%5E3%2Ay%5E4+%29+
which equals:
+%283%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%2Ay%29%2A%283%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%2Ay%29+
From this, you can put the 3's, x's, and y's together:
+3%2A3%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay+
Now express this using powers
+9x%5E6%2Ay%5E8+
I did this the long way so you can see the operation,
but here's how to do it using this general rule:
+%28a%5Eb%29%5Ec+=+a%5E%28b%2Ac%29+
so, +%28a%5E2%29%5E4+=+a%5E8+ as you can see:
+%28a%2Aa%29%2A%28a%2Aa%29%2A%28a%2Aa%29%2A%28a%2Aa%29++=+a%5E8+
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Applying this to your problem:
+%283x%5E3%2Ay%5E4%29%5E2++=+3%5E2%2Ax%5E%283%2A2%29%2Ay%5E%284%2A2%29+
+%283x%5E3%2Ay%5E4%29%5E2+=+9x%5E6%2Ay%5E8+
Hope this helps