Express each of the following numbers in exponential form:
(i) 512
(ii) 625
(iii) 729

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Solution

We have
(i) Prime factorisation of 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2⁹

(ii) Prime factorisation of 625 = 5 x 5 x 5 x 5 = 5⁴

(iii) Prime factorisation of 729 = 3 x 3 x 3 x 3 x 3 x 3 = 3⁶

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Similar questions

Express the following numbers using the exponential notation:

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

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

1728

\frac{1}{512}

0.000169

Express $512 \times 729$ in exponential form:

512

343

729

3125

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