Question

Dadas as seguintes potências:

I- o triplo de 3 45
II- o quadrado de 5 30
III- a metade de 2 50
Calcule e assinale a alternativa correta.

a.
I- 390 , II- 560 e III- 249

b.
I- 33 , II- 52 e III- 150

c.
I- 345 , II- 5590 e III- 248

d.
I- 3135 , II- 59900 e III- 225,5

e.
I- 346 , II- 560 e III- 249

Answer 1

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$\boxed{\begin{array}{c}\sf{Dada~as~seguintes~pot\hat{e}ncias:}\\\sf{I- o~triplo~de~3^{46}\\\sf{II-o~quadrado~de~5^{30}}}\\\sf{III- a~metade~de~2^{50}}\\\sf{Calcule~e~assinale~a~alternativa~correta}\end{array}}$

$\tt{a.}\\\sf{I-3^{90}~~~,II-5^{60}~~~III-2^{49}}\\\tt{b.}\\\sf{I-3^{3}~~~,II-5^{2}~~~III-1^{50}}\\\tt{c.}\\\sf{I-3^{45}~~~,II-55^{90}~~~III-2^{48}}\\\tt{d.}\\\sf{I-3^{135}~~~,II-59^{900}~~~III-225^{5}}\\\tt{e.}\\\sf{I-3^{46}~~~,II-5^{60}~~~III-2^{49}}$

$\rm{\underline{soluc_{\!\!,}\tilde{a}o:}}\\\sf{I-3\cdot3^{45}=3^{45+1}=3^{46}}\\\sf{II-(5^{30})^2=5^{30\cdot2}=5^{60}}\\\sf{III-\dfrac{2^{50}}{2}=2^{50-1}=2^{49}$

$\huge\boxed{\boxed{\boxed{\boxed{\boxed{\sf{\maltese~alternativa~e}}}}}}$