Question

f What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?

Answer 1

//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=

Answer 2

The simplified expression is:
`(5)/(2)`.

Explanation:

We have been given an expression:

`(5^(-3)\cdot 2^2\cdot 5^6)/(2^3\cdot 5^2)`

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:

`(5^3\cdot 2^2)/(2^3\cdot 5^2)`

Cancel the powers of the term with same base

`\Rightarrow (5)/(2)`

Hence, the simplified expression of:

`(5^(-3)\cdot 2^2\cdot 5^6)/(2^3\cdot 5^2)=(5)/(2)`.