Question

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

Answer 1

Did you tried this?

Answer 2

Yes.. @kenrick143

Answer 3

Let me check

Answer 4

Did you simplify?

Answer 5

That's the question. It wants me to simplify. @kenrick143

Answer 6

Move the 3^(-4) to the bottom, and move the 3^(-3) to the top.
\[\frac{ 3^3 * 2^3 * 3^2 }{ 2^4 * 3^4 }\]
Now do the operations and multiply the numbers together...
\[\frac{ 27 * 8 * 9}{ 16 * 81}\]
Now multiply the numbers together
\[\frac{ 1944 }{ 1296 }\]
This fraction in decimal form is 1.5
A.K.A \[\frac{ 3 }{ 2 }\]

Final simplified answer:
\[\frac{ 3 }{ 2 }\]

Answer 7

Thank you. @wckeller