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 $(4x)^{-2}(4x)^3(4x)^9=(4x)^{10}$.