Question

(1 point) Rewrite the following using a single exponent.

Answer 1

we are given

`(6^a6^a)/(36^b) =36^x`

now, we can use property of exponent

`m^p *m^p=(m)^(2p)`

so, we can write as

`6^a *6^a=(6)^(a+a)`

`6^a *6^a=6^(2a)`

`6^a *6^a=(6^(2))^a`

`6^a *6^a=(36)^a`

now, we can plug back

`(36^a)/(36^b) =36^x`

we can use property of exponent as

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

we can write as

`36^(a-b) =36^x`

now, we can compare both sides exponents

and we will get

`x =a-b`................Answer