Answer: [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
1. You have the following expression given in the problem above:
[tex]\frac{(5^{-3})(2^{2})(5^{6})} {(2^{3})(5^{2})}[/tex]
2. You must apply the exponents properties, as following:
- To multiply powers that has the same bases, add the exponents of the bases that are equal:
[tex]\frac{(5^{(-3+6)})(2^{2})} {(2^{3})(5^{2})}=\frac{(5^{3})(2^{2})} {(2^{3})(5^{2})}[/tex]
- To divide powers that has the same bases, you must substract the exponents of the bases that are equal:
[tex]\frac{5^{(3-2)})} {2^{(3-2)}}=\frac{5}{2}[/tex]
3. Therefore, the answer is [tex]\frac{5}{2}[/tex]
Answer:
5/2
Step-by-step explanation:
putting the exponents and then
