Question

Find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m​

Answer 1

m = - 15

Explanation:

Using the rule of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))` , then

`(-(3)/(4)) ^(-4)` ×
`(-(3)/(4)) ^(-11)` =
`(-(3)/(4)) ^(m)` , that is

`(-(3)/(4)) ^((-4-11))` =
`(-(3)/(4)) ^(m)`

`(-(3)/(4)) ^(-15)` =
`(-(3)/(4)) ^(m)`

Equating exponents gives

m = - 15