Answer:
[tex]2*2^1^/^4[/tex]
(≈2.378)
Step-by-step explanation:
we know that:
[tex]a^x*a^y=a^x^+^y[/tex]
[this is the same as multiplying any exponents]
3/4 + 1/2 = 1 + 1/4
if [[tex]a^x*a^y=a^x^+^y[/tex]], then [[tex]a^x^+^y=a^x*a^y[/tex]] must also be true
so,
[tex]2^1^+^1^/^4=2^1*2^1^/^4\\[/tex]
= [tex]2*2^1^/^4[/tex]
([tex]2^1^/^4 = 1.189207115[/tex])
1.189207115 · 2 = 2.37841423001
(rounded to 2.378)
