Question

Complete the equation.
(4x)−2(4x)3(4x)9=(4x)

Answer 1

Given:

Consider the given equation is

`(4x)^(-2)(4x)^3(4x)^9=(4x)^?`

To find:

The missing value in the given equation and complete the equation.

Solution:

We have,

`(4x)^(-2)(4x)^3(4x)^9=(4x)^?`

Taking LHS, we get

`LHS=(4x)^(-2)(4x)^3(4x)^9`

`LHS=(4x)^(-2+3+9)`
`[\because a^ma^n=a^(m+n)]`

`LHS=(4x)^(10)`

and,

`RHS=(4x)^?`

Let the missing value be k.

For each equation LHS=RHS.

`(4x)^(10)=(4x)^(k)`

`10=k`

Therefore, the missing value is 10 and the complete equation is
`(4x)^(-2)(4x)^3(4x)^9=(4x)^(10)`.