Question

8.3 simplify rational exponents (homework) score: 6.05/25 answered: 7/25 question 8 simplify. $-8^{\frac{2}{3}}=$ question help: video written example submit question jump to answer

Explanation:

Step1: Rewrite base as power

We know that $8 = 2^3$. So, $-8^{\frac{2}{3}}=-(2^3)^{\frac{2}{3}}$.

Step2: Apply power - of - a - power rule

According to the rule $(a^m)^n=a^{mn}$, we have $(2^3)^{\frac{2}{3}} = 2^{3\times\frac{2}{3}}=2^2$.

Step3: Calculate the result

$2^2 = 4$, and since we had a negative sign in front, $-8^{\frac{2}{3}}=- 4$.

Answer:

$-4$