Question

please give this answer I will mark as brainlest and I will follow you.​

Answer 1

Answer:

1. $(10)^{-3}$

2. $(\frac{7}{5 } )^{10}$

3. $\frac{13}{16}$

Step-by-step explanation:

1.    $(1^{3}+2^{3}+3^{3}+4^{3} )^{\frac{-3}{2} }$

      = $[(\frac{4*5}{2} )^{2}]^{\frac{-3}{2 } }$

      = $[(\frac{20}{2} )^{2*(\frac{-3}{2 } )}]$

       = $(10)^{-3}$   (or) $\frac{1}{1000}$

2.   x =    $(\frac{7}{5 } )^{2}$ * $(\frac{5}{7} )^{-3}$

        =    $(\frac{7}{5 } )^{2}$ * $(\frac{7}{5} )^{3}$

        =    $(\frac{7}{5 } )^{2+3}$

        =     $(\frac{7}{5 } )^{5}$

   therefore, x² = $((\frac{7}{5 } )^{5})^{2}$

                         = $(\frac{7}{5 } )^{10}$

3.   $(2^{-1}+3^{-1}+4^{-1 } )*\frac{3}{4}$

      = $(\frac{1}{2}+\frac{1}{3}+ \frac{1}{4} )*\frac{3}{4}$

      = $(\frac{(1*6)+(1*4)+(1*3)}{12} )*\frac{3}{4}$

      = $(\frac{6+4+3}{4} )*\frac{1}{4}$

      = $(\frac{13}{4} )*\frac{1}{4}$

      = $\frac{13}{16}$