Question

Which of the following expressions is true?
A)4^3 x 4^4 = 4^12
B)5^2 x 5^3 > 5^5
C)3^2 x 3^5 = 3^10
D)5^2 x 5^4 < 5^8

Which of the following expressions is true?
a)2^4 x 2^3 = 2^12
b)3^3 x 3^6 > 3^8
c)4^2 x 4^2 > 4^4
d)5^2 x 5^2 = 5^10

I don't get how to do these either, can someone please help me on how to find out?

Answer 1

Which of the following expressions is true?
A)4^3 x 4^4 = 4^12
B)5^2 x 5^3 > 5^5
C)3^2 x 3^5 = 3^10
D)5^2 x 5^4 < 5^8
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a^b * a^c = a^(b+c)
so
4^3 * 4^4 = 4^7 not 4^12
5^2*5^3 = 5^5 yes
3^2*3^5 = 3^7 not 3^10
5^6 not 5^8