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3 years ago

What is radical 64/8 simplified

Mathematics

2 answers:

Luda [366]3 years ago

4 0

The answer is 8, because 64÷8= 8!simple

Sergeu [11.5K]3 years ago

3 0

Answer:

2^(6-3) = 2^3 = 8

Step-by-step 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

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