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Triss [41]
3 years ago
13

What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the powe

r of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3?
3 over 2
3 to the power of 2 over 2 to the power of 2
3 to the power of 2 over 2
2 to the power of 4 over 3

Mathematics
2 answers:
DochEvi [55]3 years ago
6 0
The answer is in the picture

VARVARA [1.3K]3 years ago
4 0

Answer: Hello!

The equation described is:

\frac{3^{-4} *2^{3}*3^{2}  }{2^{4}*3^{-3}  }

You can use the next relations to simplify it a bit:

x^{-a} = \frac{1}{x^{a} }

x^{a} *x^{b} = x^{a + b}

Then our equation results in:

\frac{3^{-4} *2^{3}*3^{2}  }{2^{4}*3^{-3}  } = 3^{-4} *2^{3}*3^{2} *2^{-4}*3^{3} = 3^{-4 +2 + 3}*2^{3 - 4} = 3^{1} *2^{-1}  = \frac{3}{2}

Then the correct answer is the first option.

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