Question
Express the following number using the exponential notation: $729$
✓
Answer
In order to express $729$ in exponential notation, we should find the prime factors of $729$ and express $729$ as the product of its prime factors.
$\therefore 729=3 \times 3 \times 3 \times 3 \times 3 \times 3=3^6$
$\text { Also, } 729=3 \times 3 \times 3 \times 3 \times 3 \times 3=9 \times 9 \times 9=9^3$
Hence $3^6, 9^3$ are the exponential notations of $729$
$\therefore 729=3 \times 3 \times 3 \times 3 \times 3 \times 3=3^6$
$\text { Also, } 729=3 \times 3 \times 3 \times 3 \times 3 \times 3=9 \times 9 \times 9=9^3$
Hence $3^6, 9^3$ are the exponential notations of $729$
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