Question

Write the exponential form of $512\times 625$

• A. $2^8\times 5^4$
• B. $2^8\times 5^5$
• C. $2^9\times 5^4$
• D. $2^9\times 5^5$

Answer 1

The correct option is C $2^9\times 5^4$

$\begin{array}{cc}2& 512\\ 2& 256\\ 2& 128\\ 2& 64\\ 2& 32\\ 2& 16\\ 2& 8\\ 2& 4\\ 2& 2\\ & 1\end{array}$

$\begin{array}{cc}5& 625\\ 5& 125\\ 5& 25\\ 5& 5\\ & 1\end{array}$
$\Rightarrow$512=$2^9$and 625=$5^4$
$\Rightarrow$$512\times 625=2^9\times 5^4$