Answer:
The correct option is B
B) (1/729)c²⁷
Step-by-step explanation:
Lets write it all in an understandable form.
The given expression is:
( 9c ⁻⁹ ) ⁻³
The given options are:
A) 9c²⁷
B) (1/729)c²⁷
C) 729c²⁷
D) 9/c²⁷
Lets find the solution. The given expression is:
( 9c ⁻⁹ ) ⁻³
Multiply the outer power -3 with each term inside the bracket. It can be rewritten as.
(9⁻³) ( c ⁽⁻⁹⁾⁽⁻³⁾)
A negative power can be converted into positive by taking it down in the denominator.
The multiplication (-9)(-3) results in 27.
The equation can be written as:
( 1/9³) ( c²⁷)
Where 9³ = 729
( 1/729)( c²⁷)
which is equal to option B
