Express 8 as a product of prime factors in index form

8 = 2^3

Step-by-step explanation:

8 = 4*2

    4 is not a prime number so we break 4 into 2*2 and replace it

8 = 2*2*2

All of these are prime

We see there are three 2's multiplied together, that means 2 is the base and 3 is the exponent

8 = 2^3

2^3 is index form

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step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus