Question
Work out $(1)^5,(-1)^3,(-1)^4,(-10)^3,(-5)^4$.
✓
Answer
i. We have $(1)^5=1 \times 1 \times 1 \times 1 \times 1=1$
In fact, you will realise that 1 raised to any power is 1 .
ii. $(-1)^3=(-1) \times(-1) \times(-1)=1 \times(-1)=-1$
iii. $(-1)^4=(-1) \times(-1) \times(-1) \times(-1)=1 \times 1=1$
You may check that $(-1)$ raised to any odd power is $(-1)$, and $(-1)$ raised to any even power is $(+1)$.
iv. $(-10)^3=(-10) \times(-10) \times(-10)=100 \times(-10)=-1000$
v. $(-5)^4=(-5) \times(-5) \times(-5) \times(-5)=25 \times 25=625$
In fact, you will realise that 1 raised to any power is 1 .
ii. $(-1)^3=(-1) \times(-1) \times(-1)=1 \times(-1)=-1$
iii. $(-1)^4=(-1) \times(-1) \times(-1) \times(-1)=1 \times 1=1$
You may check that $(-1)$ raised to any odd power is $(-1)$, and $(-1)$ raised to any even power is $(+1)$.
iv. $(-10)^3=(-10) \times(-10) \times(-10)=100 \times(-10)=-1000$
v. $(-5)^4=(-5) \times(-5) \times(-5) \times(-5)=25 \times 25=625$
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