Question

Moira simplifies the expression 6y4+3y4 to 9y8 . Use the drop-down menus to complete the statements below to explain why Moira's solution is correct or incorrect.

Answer 1

Moira's solution is..... incorrect

6y4+3y4 is the same as...... (6*y^4) + (3*y^4)

9y8 is the same as...... 9y*y*y*y*y*y*y*y

6y4+3y4 simplifies to..... 9y^4

Answer 2

Moira's solution is not correct. The correct solution is
`6y^4+3y^4=9y^4`

Explanation:

Given :
`6y^4+3y^4`

To simplify :
`6y^4+3y^4`

Solution : when we solve the given equation

Adding two like terms or similar terms

`6y^4+3y^4=y^4(6+3)=9y^4`

The moira's solution is not correct because moira use multiplication rule not addition rule.

`x^a* x^b=x^(a+b)`

⇒
`y^4* y^4=y^(4+4)=y^8`

Therefore, correct solution is
`6y^4+3y^4=9y^4`