Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0.
StartFraction m Superscript 5 Baseline Over 162 n EndFraction
StartFraction 1 Over 2 m cubed n EndFraction
StartFraction 8 m Superscript 9 Baseline Over n Superscript 9 Baseline EndFraction
StartFraction 4 m Superscript 8 Baseline Over 3 n cubed EndFraction

Option a: is the equivalent expression.

Explanation:

The expression is where

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

Cancelling the like terms, we have,

This equation can also be written as,

Multiplying the terms in denominator, we have,

Thus, the expression which is equivalent to is

Hence, Option a is the correct answer.

the diameter is 16 cm. are you a teacher?

step-by-step explanation:

no solution

step-by-step explanation:

there is not enough information in the problem to solve.