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Q.

Using laws of exponents, simplify and write the answer in exponential form: 

(i) 32×34×38 (ii) 615÷610 (iii) a3×a2 (iv) 7x×72 (v) 523÷53 (vi) 25×55 (vii) a4×b4 

(viii) 343 (ix) 220÷215×23 (x) 8t÷82

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Detailed Solution

(i) Using the law of multiplying powers with the same base: am×an=am+n

Hence, the exponential form: 32×34×38=32+4+8=314

(ii) Using the law of dividing powers with the same base: am÷an=am-n

Hence, the exponential form: 615÷610=615-10=65

(iii) Using the law of multiplying powers with the same base: am×an=am+n

Hence, the exponential form: a3×a2=a3+2=a5

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