Answer:
6
Step-by-step explanation:
Given I varies inversely with R then the equation relating them is
I =
← k is the constant of variation
To find k use the condition R = 12 when I = 3
k = IR = 3 × 12 = 36
I =
← equation of variation
When I = 6, then
6 =
, hence
R =
= 6
You can make 128 different couches because 16x8=128
Recall the quotient rule of exponents: x^a/x^b = x^(a-b)
So
2^(7/8) / 2^(1/4)
=2^(7/8-1/4)
=2^((7-2)/8)
=2^(5/8)
=8 radical 2^5
=8 radical (32)