What is the simplified expression for 4 to the power of negative 3 multiplied by 3 to the power of 4 multiplied by 4 to the power of 2 whole over 3 to the power of 5 multiplied by 4 to the power of negative 2 ?

Question

hoot_hoot · Answer

$$\frac{ (\frac{ 1 }{ 4^{3} })(3^{4})(4^{2}) }{(3^{5})(\frac{ 1 }{ 4^{2} }) }$$

Simplify.

The numerator will be: $$\frac{ 3^{4} }{ 4 }$$

Find their equivalent values. For example: $$2^{2} = 4$$
Then, follow the operation.

mathmale · Answer

I'd suggest you avoid presenting your math expression in words unless specifically told to do so.  Instead, use mathematical symbols:$$\frac{ (\frac{ 1 }{ 4^{3} })(3^{4})(4^{2}) }{(3^{5})(\frac{ 1 }{ 4^{2} }) }$$   (as presented by hoot_hoot).

mathmale · Answer

Start by reducing$$\frac{ 3^4 }{ 3^5 }$$