Question

simplify -
( 15 power 1/4 upon 125 power 1/2) whole power -2​

Answer 1

Step-by-step explanation:

=>  $[\frac{15^{\frac{1}{4} } }{125^{\frac{1}{2} } } ] ^{-2}$

=>  $[15^\frac{1}{4} * \frac{1}{125^\frac{1}{2}} ]^-2$

=>  $[\frac{1}{15}^{-4} * 125^{-2}]^{-2}$

=>  $[\frac{1}{15*15*15*15}^{-1} *(125*125)^{-1}]^{-2}$

=>  $[15*15*15*15 *\frac{1}{125*125}]^{-2}$

=>  $[3*3*3*3 *\frac{1}{1*25}]^{-2}$

=>  $[\frac{81}{25}]^{-2}$

=>  $[\frac{25}{81}]^{2}$

=>  $[\frac{625}{6561} ]$.