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

Answer:

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

Greetings!

When adding like terms, they simply add together:

6y + 3y = 9y

The rule of adding two powers are as follows:

$x^{a} + x^{b} = x^{a+b}$

So:

$y^{4} + y^{4} = y^{4 + 4} = y^{8}$

So 6y⁴ + 3y⁴ = 9y⁸

Hope this helps!