Respuesta :
//5^-3 = 1/(5^3)
(2^2*5^6)/(5^3*2^3*5^2)=
(2^2*2^-3)*(5^6*5^-3*5^-2)=
(2^-1)*(5^1)=
5/2=
2.5=
(2^2*5^6)/(5^3*2^3*5^2)=
(2^2*2^-3)*(5^6*5^-3*5^-2)=
(2^-1)*(5^1)=
5/2=
2.5=
Answer:
The simplified expression is: [tex]\frac{5}{2}[/tex].
Step-by-step explanation:
We have been given an expression:
[tex]\frac{5^{-3}\cdot 2^2\cdot 5^6}{2^3\cdot 5^2}[/tex]
We will simplify it by adding powers of the terms which have same base
So first we will simplify numerator and denominator individually so we get:
[tex]\frac{5^3\cdot 2^2}{2^3\cdot 5^2}[/tex]
Cancel the powers of the term with same base
[tex]\Rightarrow \frac{5}{2}[/tex]
Hence, the simplified expression of:
[tex]\frac{5^{-3}\cdot 2^2\cdot 5^6}{2^3\cdot 5^2}=\frac{5}{2}[/tex].
