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

$=\frac{1}{2^{56}}$

Hence final equivalent answer is $\frac{1}{2^{56}}$

You can also use $2^{-56}$ as exponent form if you don't want to remove negative sign from exponent.