Question

Simplify m2b4r3/r4b4m

Answer 1

We have to simplify the next given expression:

`(m^2b^4r^3)/(r^4b^4m)`

First, we can cancel the common terms b⁴/b⁴ = 1

Then:

`(m^2r^3)/(r^4m)`

Now, we need to use the next exponents property:

`(a^m)/(a^n)=a^(m-n)`

For m:

`(m^2)/(m)=m^(2-1)=m`

Therefore:

`(mr^3)/(r^4)`

For r:

`(r^3)/(r^4)=r^(3-4)=r^(-1)`

Use for r the next exponent property:

`a^(-m)=(1)/(a^m)`

Hence, we have the next simplified expression:

`m\cdot(1)/(r)`
`=(m)/(r)`