Question

Simplify the following rational expression to determine if thegiven simplification is correct. If it is correct, select TRUE. If it isnot correct, select FALSE.6x48x556x47

Answer 1

The question asks us to confirm the simplification of the expression:

`-(48x^5)/(56x^4)`

Step 1: Factor the numbers

`\begin{gathered} 48=8*6 \\ 56=8*7 \end{gathered}`

Therefore, the expression becomes:

`-(48x^5)/(56x^4)=-(8*6x^5)/(8*7x^4)`

Step 2: Cancel out the common terms from the expression

`-(8*6x^5)/(8*7x^4)=-(6x^5)/(7x^4)`

Step 3: Apply the rule of exponents

`(x^n)/(x^n)=x^(m-n)`

Therefore, we have:

`-(6x^5)/(7x^4)=(6)/(7)x^(5-4)=-(6x)/(7)`

CONCLUSION

The expression simplifies to give:

`-(48x^5)/(56x^4)=-(6x)/(7)`

The answer is TRUE.