Question

Write an exponential expression that is equivalent to (4^14)^-2



THANK UUU

Answer 1

(4^14)^-2

`=(4^(14))^(-2)`

Apply the formula :
`(x^m)^n=x^(m*n)`

We get:

`=4^(14*(-2))`

`=4^(-28)`

`=(2^2)^(-28)`

`=(2^2)^(-28)`

Apply the formula :
`(x^m)^n=x^(m*n)`

We get:

`=2^(2*(-28))`

`=2^(-56)`

convert negative exponent into positive

`=(1)/(2^(56))`

Hence final equivalent answer is
`(1)/(2^(56))`

You can also use
`2^(-56)` as exponent form if you don't want to remove negative sign from exponent.