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Math Help - brackets

  1. #1
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    brackets

    how would i work this out?

    (4^2)
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  2. #2
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     (4^2)=(4\times 4)=16
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  3. #3
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    Quote Originally Posted by ramiee2010 View Post
     (4^2)=(4\times 4)=16

    thanks! (4^{-2})^{-3} would that be 24???
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  4. #4
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    (4^{-2})^{-3}=(4^{(-2 )\times ( -3)})=4^6=4096
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  5. #5
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    Quote Originally Posted by ramiee2010 View Post
    (4^{-2})^{-3}=(4^{(-2 )\times ( -3)})=4^6=4096

    wouldn't you do 4X-2= -8 -8X-3= 24?
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  6. #6
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    Quote Originally Posted by andyboy179 View Post
    wouldn't you do 4X-2= -8 -8X-3= 24?
    do you know that  a^{-1} =\frac{1}{a} \Rightarrow a^{-2} =\left (\frac{1}{a} \right )^2=\frac{1^2}{a^2}=\frac{1}{a^2}
     4^{-2} =\left (\frac{1}{4} \right ) ^2 =\left (\frac{1^2}{4^2} \right ) =\left (\frac{1 \times 1}{4 \times 4} \right )=\left (\frac{1}{16} \right )
    (4^{-2})^{-3} = \left (\frac{1}{4^2} \right )^{-3} = \left ( \frac{1}{(\frac{1}{4^2})} \right )^3=(4^2)^3=4^{(2 \times 3)}=4^6
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