What is an equivalent expression to f(x)=4*36^(1+x/2)

Answer 1

4 * 36 * 36^x/2

4 * 36 * 6^x

144 * 6^x

Answer 2

4(36^(x/2+1) = 4(36)(36^(.5x) = 144(6^x)

Answer 3

What is an equivalent expression to f(x)=4*36^(1+x/2)

f(x) = 4 * 36^(1+x/2) By properties of exponents you can spit a^b+c = a^b * b^c

f(x) = 4 * 36 * 36^x/2 We can use another property of exponents a^bc=(a^b)^c

f(x) = 4 * 36 * (36^1/2)^x A number to the 1/2 power is the same as a square root

f(x) = 144 * 6^x