Write in exponential form. Assume all variables are positive real numbers.
-$- 4 \sqrt { 6 m ^ { 9 } }$
A) $- 4 \cdot 6 ^ { 1 / 2 } \mathrm {~m} ^ { 9 / 2 }$
B) $96 \mathrm {~m} ^ { 2 / 9 }$
C) $- 96 m ^ { 9 / 2 }$
D) $( - 4 \cdot 6 ) ^ { 1 / 2 } m ^ { 9 / 2 }$

Question

Quizplus · Accepted Answer

The square root of a number can be expressed as the number raised to the $1/2$ power. Therefore, $\sqrt{6m^9}$ is equivalent to $6^{1/2}m^{9/2}$. The negative sign and the coefficient -4 remain outside the exponential expression, making option A correct.

Write in Exponential Form −46m9- 4 \sqrt { 6 m ^ { 9 } }−46m9​

Write in Exponential Form $- 4 \sqrt { 6 m ^ { 9 } }$