Question

What is the quotient15pq6-200in simplified form? Assume P=0,9=.3804020 43401605q10 51652

Answer 1

Given the quotient form of an expression below,

`\begin{gathered} (15p^(-4)q^(-6))/(-20p^(-12)q^(-3)) \\ \text{Where p}\\e0\text{ and q}\\e0 \end{gathered}`

To find the simplified form by taking like terms apart below,

`\begin{gathered} (15p^(-4)q^(-6))/(-20p^(-12)q^(-3))=(15)/(-20)*(p^(-4))/(p^(-12))*(q^(-6))/(q^(-3)) \\ =-(3)/(4)* p^(\mleft\lbrace-4-(-12)\)\mright?}* q^(\mleft\lbrace-6-(-3)\mright\rbrace) \\ =-(3)/(4)* p^((-4+12))* q^((-6+3)) \\ =-(3)/(4)* p^8* q^(-3)=-(3)/(4)p^8q^(-3) \\ =-(3p^8)/(4q^3) \end{gathered}`

Hence, the simplified form is,

`-(3p^8)/(4q^3)`

The answer is the first option