Question

In the multiplication a x a x a = a, the value of a is

Answer 1

Answer:

a*a*a = a^3

a+a+a = 3a

so a^3 = 3a

a^3–3a = 0

Factoring an a we get the following:

a(a^2–3) = 0

a = 0 or a^2–3 = 0

a^2 - 3 = 0

a = +/- sqrt(3)

Now we can test these values for a.

If a = 0:

0*0*0 = 0+0+0

0 = 0: therefore a = 0 works

If a = sqrt(3)

sqrt(3)*sqrt(3)*sqrt(3) = sqrt(3) + sqrt(3) + sqrt(3)

sqrt(3)*sqrt(3) = 3 because of exponent rules:

3sqrt(3) = 3sqrt(3): therefore a = sqrt(3) works

If a = -sqrt(3)

-sqrt(3)*-sqrt(3) * -sqrt(3) = -sqrt(3)-sqrt(3)-sqrt(3)

-3sqrt(3) = -3sqrt(3): therefore a = -sqrt(3) works

So a can equal 0, sqrt(3) or -sqrt(3

Step-by-step explanation:

Answer 2

Answer:

1

Step-by-step explanation:

let the value be 1

1×1×1 = 1

a×a×a=a

hence profed