Question

Anyone know how to do these?

Answer 1

Option B is the correct answer.

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
`a^(-1)`

`((m^(-1)m^5)/(m^-2) )^(-3)\\((m^(-1+5))/(m^-2) )^(-3)\\((m^4)/(m^-2) )^(-3)\\(m^(4+2))^(-3)\\(m^6)^(-3)\\m^(-18)\\(1)/(m^(18))`

Therefore option B is answer

Answer 2

B. 1/m¹⁸

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