The second and fourth statements are true.
We have given that,
A). 4^3 x 4^5 < 4^12
B). 5^2 x 5^3 > 5^5
C). 3^2 x 3^4 = 3^2
D). 5^2 x 5^4 = 5^8
Now we have to determine the true statement.
[tex]4^3 \times 4^5 < 4^{12}\\4^{15} < 4^{12}[/tex]
Therefore the first option is not true
5^2 x 5^3 > 5^5
[tex]5^2 \times 5^3 > 5^5\\5^6 > 5^5[/tex]
Therefore the second option is correct.
[tex]C). 3^2 \times 3^4 = 3^2\\3^6=3^2\\[/tex]
Which is contradiction
This statement is not true.
[tex]D). 5^2 \times 5^4 = 5^8\\5^8=5^8[/tex]
This is a true statement.
Therefore the second and fourth statements are true.
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