Answer:
D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]
Step-by-step explanation:
Original Equation= [tex](5^2 \cdot 7^4)^{10}[/tex]
Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]
= [tex](5^2)^{10}[/tex] x [tex](7^4)^{10}[/tex]
Distribute them
= [tex]5^{20}[/tex] x [tex](7^4)^{10}[/tex]
= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]
Hope this helps!
