How would I put (-144) to the 1/2 power in radical form?
this is #13
1/2 power is square root.
Can you explain to me how you do this step by step?
i^2=-1(-144)^1/2=(12*12 i^2)^1/2=12i
Why is there a variable in the equation?
i=for use -ve
i=imag
I'm sorry but I still don't understand. Can you explain this to me?
your ans
\(\large (-144)^{1/2} = \sqrt{-144}\)
sister your book ans
\(\large \sqrt{-144}=\sqrt{-1} \cdot \sqrt{144}\) \(\large \sqrt{-1} = i\), \(\large \sqrt{144}=12.\)
oh okay, thank you. can you guys explain to me how to simplify the expression 16^3/4 if possible?
Rational exponents are 'power-over-root' \(\large 16^{3/4} = \sqrt[4]{(16)^3}\)
16^(3/4)=(2^4)^(\[16^(3/4)=(2^4)^(3/4)=2^((4\times3)/4)=2^3=8
^wow, what a way to over-complicate something that is really simple. :-p
\(\large 16^{3/4}=(\sqrt[4]{16})^3\) \(\large \sqrt[4]{16} =2\) \(\large 2^3=8\)
16^1-1/4=16^1/16^1/4=16/2=8
\[(-144)^{\frac{1}{2}}=12 \sqrt{-1}=12 i \]\[-144^{\frac{1}{2}}=-12 \]
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