Answer:
1) a
2) b
Step-by-step explanation:
1) Lets check all the options
a) Cannot be simplified
b) [tex](6^2)^5=6^{10}[/tex] because [tex](a^m)^n=a^{mn}[/tex]
c) [tex](2\times3)^{10}=6^{10}[/tex] fairly self-explanatory because [tex]2\times3=6[/tex]
d) [tex]2^{10}\times3^{10}=6^{10}[/tex] because [tex]a^m\times b^m=ab^m[/tex]
Hence a is the answer.
2) [tex]25\frac12\div\frac12=\frac{51}2\times\frac21=51[/tex]
Hence b is the answer
