Evaluate 3 raised to 0 multiplied by 4 raised to 3/2.

First, do you know how to evaluate 3^0?

Second, you can ealuate 4^{ \frac 3 2 } in either or two ways: this is equaivalent to either:


(4^3)^{\frac 1 2 }


or


(4^{\small \frac 1 2 })^3


So to do this - do you know how to evaluate either of those expressions?

No... *** b more precise... I know that 3 raised to 0 stands for 1. can you explain the other half.

OK - a number raised to 1/2 means the square root of the number. If raised to 1/3 it's the cube root, etc. So for example:


9^{1/2} = 3 since 3^2 = 9

64^ {\small \frac 1 3} = 4 since 4^3 = 64

The other property of exponents to be aware of is that


a^{bc} = (a^b)^c = (a^c)^b


Thus for example to evaluate
64^{\small \frac 2 3 :


64^{\small \frac 2 3 }= (64^{\small \frac 1 3 })^2 = 4^2 = 16 , or you could do it like this:


64^{\small \frac 2 3}= (64^2)^{\small \frac 1 3 } = 4096^{\small \frac 1 3} = 16

Hope this helps.

Thank you very much... u helped clear my understanding completely...