Answer:
128
Explanation:
[tex] \tt{ \dfrac{2^{8}}{ {2}^{4} } \times {2}^{3} }[/tex]
[tex]{\implies \tt{ \dfrac{ 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }{ 2 \times 2 \times 2 \times 2 }\times 2 \times 2 \times 2 }}[/tex]
[tex]\implies \tt{ \dfrac{256}{\cancel{16}}} \times \: \cancel{8}[/tex]
[tex]\implies \tt{\dfrac{\cancel{256}}{\cancel{2}}}[/tex]
[tex]\tt{\implies \underline{\boxed{\tt{\orange{128}}}} }[/tex]
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There are two questions possible with this:
1) [tex]\frac{2^{8} }{2^{4} }*2^{3}[/tex] = 128
2) [tex]\frac{2^{8} }{2^{4}*2^{3} }[/tex] = 2
Answer (1):
[tex]\frac{2^{8} }{2^{4} }*2^{3}[/tex]
= [tex]\frac{2*2*2*2*2*2*2*2}{2*2*2*2} *2*2*2[/tex]
[tex]= \frac{2*2*2*2*2*2*2*\not2}{\not2*\not2*\not2*\not2} *\not2*\not2*\not2[/tex]
[tex]=2*2*2*2*2*2*2 = 2^{7}[/tex]
= 128
Answer (2):
[tex]\frac{2^{8} }{2^{4}*2^{3} }[/tex]
[tex]= \frac{2^{8} }{2^{7} }[/tex]
[tex]= (2)^{8-7} \\= (2)^1\\= (2)[/tex]
= 2
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Answers & Comments
Answer:
128
Explanation:
[tex] \tt{ \dfrac{2^{8}}{ {2}^{4} } \times {2}^{3} }[/tex]
[tex]{\implies \tt{ \dfrac{ 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }{ 2 \times 2 \times 2 \times 2 }\times 2 \times 2 \times 2 }}[/tex]
[tex]\implies \tt{ \dfrac{256}{\cancel{16}}} \times \: \cancel{8}[/tex]
[tex]\implies \tt{\dfrac{\cancel{256}}{\cancel{2}}}[/tex]
[tex]\tt{\implies \underline{\boxed{\tt{\orange{128}}}} }[/tex]
_
swipe the screen for more comfortable view >>>
Answer:
There are two questions possible with this:
1) [tex]\frac{2^{8} }{2^{4} }*2^{3}[/tex] = 128
2) [tex]\frac{2^{8} }{2^{4}*2^{3} }[/tex] = 2
Answer (1):
[tex]\frac{2^{8} }{2^{4} }*2^{3}[/tex]
= [tex]\frac{2*2*2*2*2*2*2*2}{2*2*2*2} *2*2*2[/tex]
[tex]= \frac{2*2*2*2*2*2*2*\not2}{\not2*\not2*\not2*\not2} *\not2*\not2*\not2[/tex]
[tex]=2*2*2*2*2*2*2 = 2^{7}[/tex]
= 128
Answer (2):
[tex]\frac{2^{8} }{2^{4}*2^{3} }[/tex]
[tex]= \frac{2^{8} }{2^{7} }[/tex]
[tex]= (2)^{8-7} \\= (2)^1\\= (2)[/tex]
= 2