Respuesta :

smmwaite

Answer:

B. 1/m¹⁸

Step-by-step explanation:

To simplify the equation, we start with the values inside the brackets.

Therefore  m⁻¹m⁵ results to m⁴.

This is because the sign between the m⁻¹ and m⁵ is multiplication, and when multiplying figures that have a similar base, we add the indices.

that is, -1+5=4

then we divide m⁴ by m⁻², that is, m⁴/m⁻²=m⁶

To divide figures that have the same base we subtract the powers.

That is, 4-(-2)=6

the resulting expression from inside the brackets will be (m⁶)³ which results to m⁻¹⁸ which is the same as 1/m¹⁸

Answer:

Option B is the correct answer.


Step-by-step explanation:

In order to solve the problem we should know exponents rule  of multiplication  ( in multiplication exponents are added

in division exponents are subtracted

reciprocal of a can we written as  [tex]a^{-1}[/tex]



[tex](\frac{m^{-1}m^5}{m^-2} )^{-3}\\(\frac{m^{-1+5}}{m^-2} )^{-3}\\(\frac{m^4}{m^-2} )^{-3}\\(m^{4+2})^{-3}\\(m^6)^{-3}\\m^{-18}\\\frac{1}{m^{18}}[/tex]

Therefore option B is answer

Otras preguntas