Which is the simplified form of (9 c Superscript negative 9 Baseline) Superscript negative 3? 9 c Superscript 27 StartFraction 1 Over 729 EndFraction c Superscript 27 729 c Superscript 27 StartFraction 9 Over c Superscript 27 Baseline EndFractioN

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

B) 1/729 c^27

I just took the quiz on edge