Question

Complete the following equation:

The missing exponent is: __

Answer 1

The missing exponent is 0

Explanation:

The give equation is
`(4x^4y^{\boxed{}})^3=64x^(12)`

Let us evaluate the left hand side using the property:
`(a^m)^n=a^(mn)`

`4^3x^(4*3)y^{3\boxed{}}=64x^(12)y^0`

This gives us:

`64x^(12)y^{3\boxed{}}=64x^(12)y^0`

We now have:

`y^{3\boxed{}}=y^0`

we must have
`{3\boxed{}}=0\implies {\boxed{}}=0`