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Question

Question 99(i)

Find the value of x, so that
(53)2×(53)14=(53)8x


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Solution

We have,
(53)2×(53)14=(53)8x

Using the law of exponents,
am×an=(a)m+n

(53)2×(53)14=(53)8x

(53)2+(14)=(53)8x


(53)214=(53)8x

(53)16=(53)8x

Since, the base is same on both sides, we can equate the exponents.

16=8x
x=2


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