Using laws of exponents, simplify and write the answer in exponential form:
(i) $7^{x} \times 7^{2}$
(ii) $2^{5} \times 5^{5}$
(iii) $a^{4} \times b^{4}$

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Solution

(i) $7^{x} \times 7^{2} = 7^{x + 2}$
(ii) $2^{5} \times 5^{5} = (2 \times 5)^{5} = 10^{5}$
(iii) $a^{4} \times b^{4} = (a \times b)^{4} = (a b)^{4}$

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