Math, asked by vishal080590, 10 months ago

The exponential form of 512 is

Answers

Answered by abhijeet28jun
0

Answer:

It is 2 to the power 9

Step-by-step explanation

hope it helps

Answered by ItzRadhe04
5

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 \huge \bf{Answer}

=> {2}^{9}

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  \bf\boxed{Step-by-step\: explanation\::-}

\begin{gathered}\begin{gathered}\bf{given}\begin{cases}\sf{{\bf  \frac{512}{125} }</p><p>} \sf \end{cases}\end{gathered}\end{gathered}

\begin{gathered}\begin{gathered}\bf{find}\begin{cases}\sf{{\bf  exponential \: form }</p><p>} \sf \end{cases}\end{gathered}\end{gathered}

\fcolorbox{red}{violet}{solution}</p><p>\\ \bf{First  \: we \:  have  \: to \:  take  \: the \:  prime}\bf{ factorisation \:  of \:  512 \:  :-} \\  \\ \begin{array}{r | l}</p><p></p><p>2 &amp; 512 \\</p><p>2 &amp; 256 \\</p><p>2 &amp; 128 \\</p><p>2 &amp; 64 \\2&amp; 32 \\2 &amp; 16 \\2 &amp; 8 \\2&amp; 4 \\ 2&amp; 2 \\ &amp; 1</p><p></p><p>\end{array} \\ </p><p>	=&gt; 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 \\ =&gt; 2⁹

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