a)[tex]( {10}^{x} )^{5} \times {10}^{2} = ({2}^{4 } \times {5}^{4} ) ^{8} [/tex]
[tex] {10}^{5x + 2} = {10}^{8 \times 4} [/tex]
[tex]5x + 2 = 32[/tex]
[tex]x = 6[/tex]
b) x÷1=1
x=1
c)
[tex](7^{4} ) ^{x} = ( {7}^5)^{ {2}^{2} } [/tex]
[tex](7^{4} ) ^{x} = ({7}^{5} )^{4} [/tex]
[tex]x = 5[/tex]
d)
[tex]x + ( {2}^{2} )^{5} = {2}^{10} [/tex]
[tex]x = 0[/tex]