Respuesta :
The correct answer is:
8 to the power of 1 over 3 equals 2 to the power of 3 whole to the power of 1 over 3 equals 2 to the power of 3 multiplied by 1 over 3 equals 2
Explanation:
We are asked to evaluate [tex] 8^{\frac{1}{3}} [/tex]. We know that if we raise a power to a power, we simplify it by multiplying the exponents; this will create a whole number exponent if we can rewrite 8 as a number to the 3rd power.
8 = 2(2)(2) = 2³
This means
[tex] 8^{\frac{1}{3}}=(2^3)^{\frac{1}{3}}=2^{3\times \frac{1}{3}}=2^{\frac{3}{3}}=2^1=2 [/tex]
