Question

Which expression is equivalent to -16y¹³?

1) -16(y²)
2) 1/6(y+2)
3) 16(-y²)
4) 1/6(-y+2)
5) 16(-y¹³)

Answer 1

The expression equivalent to -16y¹³ is 16(-y¹³), which is option 5.

Step-by-step explanation:

The expression that is equivalent to -16y¹³ is option 5) 16(-y¹³). To demonstrate equivalence, we can factor out -1 from both terms in the expression, yielding the following:

• -16y¹³ = (-1)(16)y¹³
• Since we know that multiplying a number by -1 will negate it, we can write this as:
• 16(-y¹³)

This shows that option 5) is structurally the same as the original expression, confirming its equivalence.