What is the value of the exponential expressian below 36^1/2

6

Step-by-step explanation:

The given expression is

We rewrite using property of exponents to get;

This gives

Or simplify;

6 or -6

Step-by-step explanation:

36^1/2

sqrt(36)

Means what 2 numbers multiplied together give  us 36

6*6 = 36

-6*-6 = 36

The 1/2 means we take 1 of the 2 numbers

36^1/2 = 6 or -6

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.