TeemoTheTerific
Hi!
Can i please get some help please?
Thanks!!



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TeemoTheTerific
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\[\huge6^{\frac{ 1 }{ 2 }} \times 2^{2} \times 3 ^{\frac{ 1 }{ 2 }}\]

Kuoministers
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make same base

TeemoTheTerific
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umm i dont know how

TeemoTheTerific
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can you show me please?

TeemoTheTerific
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@LonelyandForgotten help please
@whpalmer4

Directrix
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@TeemoTheTerific What are the instructions for this problem? Is the answer to be left in exponential or radical form?

TeemoTheTerific
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left in surd form

TeemoTheTerific
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well answer should be left in a surd form

Directrix
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Okay, radical form it is.

Directrix
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dw:1359525117482:dw

Directrix
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Can you pick it up from here by remembering that to multiply exponential expressions with the same base, you add their exponents.

TeemoTheTerific
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\[3 \times 2 ^{\dfrac{ 5 }{ 2 }}\]

Directrix
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dw:1359525370984:dw
Okay.

TeemoTheTerific
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ahh i got it now thanks

paul2d
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or, \[\sqrt{6}\times4\times \sqrt{3}=4\sqrt{18}=4\sqrt{9\times2}=12\sqrt{2}\]

paul2d
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I find it easier to switch the rational exponents to radicals

Directrix
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@paul2d I tend to agree but as you study more mathematics, you will encounter situations in which only exonential form will suffice or be allowed.