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Answer:

$3.42

Step-by-step explanation:

Meters of material required = 1.2 meters

Cost per meter of material = $0.85

Direct labor hours = 0.1

Cost of direct labor per hour = $15

Overhead rate = $9 per direct labor hour

Standard cost per unit of product :

(Direct material cost per unit + direct labor cost per unit + overhead cost per unit)

Direct material cost per unit :

Material needed × cost per meter = (1.2 × $0.85) = $1.02

Direct labor cost per unit :

Direct labor hour × cost per hour = ( 0.1 × $15) = $1.5

Overhead cost:

0.1 * $9 = $0.9

Standard cost :

($1.02 + $1.5 + $0.9) = $3.42

Answer: 6^8 / 12^8

Step-by-step explanation:

To simplify the expression (6^4/12^4)^2 as a single power, you can use the properties of exponents.

First, simplify the numerator and denominator separately:

(6^4/12^4)^2 = (6^4/12^4) * (6^4/12^4)

Now, use the fact that (a/b)^2 = a^2 / b^2:

= (6^4 * 6^4) / (12^4 * 12^4)

Next, use the properties of exponents to combine the like bases:

= 6^(4+4) / 12^(4+4)

= 6^8 / 12^8

Now, you can simplify further by dividing both the numerator and denominator by a common power of 12 (in this case, 12^8):

= (6^8 / 12^8) / (12^8 / 12^8)

= (6^8 / 12^8) / 1

= 6^8 / 12^8

So, (6^4/12^4)^2 simplifies to 6^8 / 12^8 as a single power.