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5 votes
Pwease hewp me pwease shanks lob u

Pwease hewp me pwease shanks lob u-example-1
User Paul Lemke
by
7.4k points

1 Answer

3 votes

Answer:

a = 3

b = 12

c = 13

Explanation:


\frac{ {2}^(5). {8}^(4) }{16} = \frac{ {2}^(5). { ({2}^(a)) }^(4) }{ {2}^(4) } = \frac{ {2}^(5). { {2}^(b) } }{ {2}^(4) } = {2}^(c) \\ \\ \frac{ {2}^(5). {8}^(4) }{16} = \frac{ {2}^(5). { ({2}^(a)) }^(4) }{ {2}^(4) } \\ \\ \frac{ {2}^(5). {( {2}^(3)) }^(4) }{ {2}^(4) } = \frac{ {2}^(5). { ({2}^(a)) }^(4) }{ {2}^(4) } \\ {( {2}^(3)) }^(4) = { ({2}^(a)) }^(4) \\ {2}^(3) = {2}^(a) \\ \huge \red{ \boxed{a = 3}} \\ \\ \frac{ {2}^(5). {8}^(4) }{16} = \frac{ {2}^(5). { {2}^(b) } }{ {2}^(4) } \\ \frac{ {2}^(5). { ({2}^(3) )}^(4) }{ {2}^(4) } = \frac{ {2}^(5). { {2}^(b) } }{ {2}^(4) } \\ { ({2}^(3) )}^(4) = { {2}^(b) } \\ {2}^(12) = { {2}^(b) } \\ \huge \purple{ \boxed{b = 12}} \\ \\ \frac{ {2}^(5). {8}^(4) }{16} = {2}^(c) \\ \frac{ 16 * 2. {( {2}^(3)) }^(4) }{16} = {2}^(c) \\ 2 * {2}^(12) = {2}^(c) \\ {2}^(13) = {2}^(c) \\\huge \orange{ \boxed{ c = 13}}

User Marc Stevenson
by
8.5k points

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