Question

Express the following numbers using the exponential notation:

(i) $512$ (ii) $343$

(iii) $729$ (iv) $3125$

Answer 1

(i) $512=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^9$

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

(ii) $343=7\times 7\times 7=7^3$

$\begin{array}{cc}7& 343\\ 7& 49\\ 7& 7\\ & 1\end{array}$

(iii) $729=3\times 3\times 3\times 3\times 3\times 3=3^6$

$\begin{array}{cc}3& 729\\ 3& 243\\ 3& 81\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\end{array}$

(iv) $3125=5\times 5\times 5\times 5\times 5=5^5$

$\begin{array}{cc}5& 3125\\ 5& 625\\ 5& 125\\ 5& 25\\ 5& 5\\ & 1\end{array}$