Answer:
C) 1/6^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
_____
Using these rules, your expression simplifies to ...
6^8·6^(10(-4)) = 6^8·6^-40 = 6^(8-40) = 6^-32 = 1/6^32
Answer:

Step-by-step explanation:
The given relation is

To make
the subject, we square both sides of the equation to get;


Isolate
on one side of the equation;

Or

We take the positive square root of both sides to get;

Answer:
about and hour and 14 minutes each day
Step-by-step explanation:
just divide 8 by 7 and round to the nearest hundredths place
Step-by-step explanation:
Pythagoras' theorem for the smallest one :


= 52
Pythagoras' theorem for the middle one :
=
+ 
Pythagoras' theorem for the biggest one :


Using the formula before (for
) it becomes :



16 + 8a = 52 + 36
16+8a = 88
8a = 88-16
8a = 72
a = 9
Verifying :



= 117
The biggest one :



True
Answer:
-19
Step-by-step explanation: