Question
Marissa was asked to create an equivalent form of the rational expression 27h^8−18h^5+12h/3h. Which of the following is a correct equivalent form?
Responses
9h^7−6h^4+4
9 7th power of h minus 6 4th power of h plus 4 - this is the correct answer
9h^8−6h^5+4h
9 8th power of h minus 6 5th power of h plus 4 h - this is the incorrect answer
9h^7−6h^4
9 7th power of h minus 6 4th power of h - this is the incorrect answer
This rational expression does not have any equivalent forms. this is the incorrect answer
explain how you would get 9h^7-6h^4+4 as your correct answer
Responses
9h^7−6h^4+4
9 7th power of h minus 6 4th power of h plus 4 - this is the correct answer
9h^8−6h^5+4h
9 8th power of h minus 6 5th power of h plus 4 h - this is the incorrect answer
9h^7−6h^4
9 7th power of h minus 6 4th power of h - this is the incorrect answer
This rational expression does not have any equivalent forms. this is the incorrect answer
explain how you would get 9h^7-6h^4+4 as your correct answer
Answers
GPT 3.5
To find the equivalent form of the given rational expression, Marissa needs to simplify the expression.
The given expression is: 27h^8 - 18h^5 + 12h / 3h.
First, she can simplify the expression by dividing each term by 3h:
= 9h^8 / 3h - 6h^5 / 3h + 12h / 3h.
This simplifies to:
= 3h^7 - 2h^4 + 4.
Therefore, the correct equivalent form of the rational expression is 9h^7 - 6h^4 + 4.
The given expression is: 27h^8 - 18h^5 + 12h / 3h.
First, she can simplify the expression by dividing each term by 3h:
= 9h^8 / 3h - 6h^5 / 3h + 12h / 3h.
This simplifies to:
= 3h^7 - 2h^4 + 4.
Therefore, the correct equivalent form of the rational expression is 9h^7 - 6h^4 + 4.