Question

8.3 simplify rational exponents (homework) score: 5.05/25 answered: 6/25 question 7 simplify. 8^(4/3)= question help: video written example submit question jump to answer

Explanation:

Step1: Rewrite 8 as a power of 2

$8 = 2^3$, so $8^{\frac{4}{3}}=(2^3)^{\frac{4}{3}}$

Step2: Apply power - of - a - power rule

According to the rule $(a^m)^n=a^{mn}$, we have $(2^3)^{\frac{4}{3}} = 2^{3\times\frac{4}{3}}$

Step3: Calculate the exponent

$3\times\frac{4}{3}=4$, so $2^{3\times\frac{4}{3}}=2^4$

Step4: Evaluate $2^4$

$2^4 = 16$

Answer:

$16$