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Please help parts b and c

Please help parts b and c-example-1
User Untill
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1 Answer

7 votes

Answer:

a = 2

b = 4

c = 8

Explanation:

Remember the relationship:


(a^(x))^(y) = a^(x*y)

First, in "a" we have:

a)
8^(1/3) = \sqrt[3]{8} = 2

then in the next ones, we can use the result that we obtained in the part a:

b)
8^(2/3) = (8^(1/3))^2 = (2)^2 = 4

Now we can do exactly the same in c:

c) where first we need to know that:

2*2*2*2 = 4*4 = 16

then:

2^4 = 16

then:


\sqrt[4]{16} = 16^(1/4) = 2

Now let's solve the problem:


16^(3/4) = (16^(1/4))^3 = (2)^3 = 2*2*2 = 8

User Balint Erdi
by
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