Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a) 
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

And now, solving for x = 9 we have:

b) 
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

c) 
Using the same property we used in a) we have:

And now, solving for z = 16 we have:

Answer:
Part 1) 10 modules per floor
Part 2) Two different rectangular prism
Step-by-step explanation:
Part 1)
Let
x ----> the number of modules
y ---> the number of stories
we have

Divide the number of modules by the number of stories
so

Part 2) How many different rectangular prisms could be made from that number?
The number is 10
Look at the factors of 10
They are 1,2
,4,5 and 10
Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is 10
There are 2 combinations that will work :
1
0×1×1
2
×5×1
The experimental probability is the number of specific outcomes divided by the sample size...
P(6)=27/100 (27%)
P(H)=41/100 (41%)
Not sure, but if you meant rolling a 6 AND getting a head then:
P(6 AND H)=(27/100)(41/100)=1107/10000 (11.07%)
Answer:
x - 24 > 9
x > 33
Step-by-step explanation: