Question

1. communicate and justify are the expressions -0.1^4 and -(0.1)^4 equivalent?

Explanation:

Step1: Calculate -0.1⁴

The exponentiation is done first. Here, $0.1^4=0.1\times0.1\times0.1\times0.1 = 0.0001$, and then the negative sign is applied, so $-0.1^4=- 0.0001$.

Step2: Calculate -(0.1)⁴

First, calculate $(0.1)^4 = 0.1\times0.1\times0.1\times0.1=0.0001$, then apply the negative sign, so $-(0.1)^4=-0.0001$.

Answer:

Yes, the expressions $-0.1^4$ and $-(0.1)^4$ are equivalent.