Express each of the following as a product of prime factors only in exponential form:
(i) 729 × 64 (ii) 768

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Solution

(i) 729 × 64 = (3 × 3 × 3 × 3 × 3 × 3) × (2 × 2 × 2 × 2 × 2 × 2)
= 3⁶ × 2⁶(ii) 768 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 = 2⁸ × 3

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Similar questions

Express each of the following as a product of prime factors only in exponential form:

(i) 108 × 192 (ii) 270

(iii) 729 × 64(iv) 768

729 \times 64

Express each of the following in exponential form:

$(i) l o g_{2} 64 = 6$

$(i i) l o g_{10} 0.01 = - 2$

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