Question

I WILL MARK BRAINLIEST

Answer 1

Answer:

$\frac{81}{m^7}$

Step-by-step explanation:

We have a certain expression and are asked to find its equivalent with the answers provided :

$(3m^{-4} )^3(3m^5)$

Remove the parenthesis around 3m^5 :

$(3m^{-4} )^3*3m^5$

Do the exponent rule for outside and inside exponent parenthesis :

$(3m^{-4*3} )$

$3^3m^{-12} *3m^5$

Apply addition exponent rule :

$m^{-12} *3^{3+1} m^5$

Add :

$m^{-12} *3^4m^5$

Apply the addition rule for -12 + 5 :

$3^{4} m^{-7}$

Apply negative exponent rule for m^-7 :

$3^4*\frac{1}{m^7}$

Multiply the fractions :

$\frac{1*3^4}{m^7}$

$\frac{81}{m^7}$