Math, asked by 18iconlon, 2 months ago

write 2^3 X 2^4 as a single power of 2

Answers

Answered by MrHyper
48

\Huge\mathfrak\green{answer:}

\bf{{\underline{To~solve}}:}

  • To write : \sf{2^{3}×2^{4}} as a single power of 2

 \sf  {2}^{3}  \times  {2}^{4} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  \sf :  \longmapsto 2^{3 + 4}  \:  \:  \: (since \: the \: base \: are \: equal)  \\  \sf :  \longmapsto  \green{ \underline{ \boxed{ \bf  {2}^{7} }}}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

Answered by TheEnchanted
8

\bf\huge{\underline{\orange{Question↴}}}

➥ Write \bf{2}^{3} × \bf{2}^{4} as a single power of 2

\bf\huge{\underline{\orange{Answer↴}}}

➥ As the base ( 2) same we can write it as \bf{2}^{3+4}

{\therefore} \bf{\bold{\orange{The~answer~is~ {2}^{7}}}}

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