14.3k views
3 votes
Anyone know how to do these?

Anyone know how to do these?-example-1
User Fernando B
by
7.7k points

2 Answers

6 votes

Answer:

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

User Asad Rauf
by
7.3k points
5 votes

Answer:

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

User Aman Chourasiya
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories