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Plz Helppppp and can u explain why ?

Plz Helppppp and can u explain why ?-example-1

2 Answers

4 votes
When we're asked to find the cube of a number, we're asked repeatedly multiply that number by itself 3 times. For instance, if we wanted to find the cube of 2 (2³), we'd find


2*2*2

which, in this case, equals 8. On the other hand, when we're asked to take the cube root of a number, we're being asked to find out which number, when multiplied by itself 3 times, gives us the number under the root sign. In our last example, finding the cube root of 8 (∛8) gets us:


\sqrt[3]{8} =2

since 2 x 2 x 2 = 8.

In your problem, we're being asked: "What number multiplied by itself gives us 64?" Or: ? x ? x ? = 64. Finding that answer takes some knowledge of the factors of 64. 64's prime factorization is
2^6, or 2 x 2 x 2 x 2 x 2 x 2. If we pair up all of the twos, we can rewrite this product as


(2*2)*(2*2)*(2*2)

or


4*4*4=4^3

since 4, when multiplied by itself 3 times, gives us 64, we know it must be our answer.
User AtomicBoolean
by
8.3k points
1 vote
21.33333333333.... I think that is the right answer. I am sorry if I get it incorrect
User Minyoung
by
8.1k points

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