Answer:
2^(6-3) = 2^3 = 8
Explanation:
To simplify radical 64/8
We will express 64 and 8 in powers of 2
64 = 2×2×2×2×2×2= 2^6
8 = 2×2×2=2^3
From the law of indices,
a^5 / a^3 = a^ (5-3) = a^2
Applying this law of indices to the given radical,
64/8 = 2^6/ 2^3
= 2^(6-3)
= 2^3 = 8
Also, we can try another way. since
64 = 2×2×2×2×2×2= 2^6
8 = 2×2×2=2^3
64/8 = 2×2×2×2×2×2 / 2×2×2
2×2×2 cancels out 2×2×2 and
It remains 2×2×2 = 8
So which ever way we do it,
radical 64/8 simplified is 2^3 = 8