Question 99(i)
Find the value of x, so that
(53)−2×(53)−14=(53)8x
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)−2−14=(53)8x
⇒(53)−16=(53)8x
Since, the base is same on both sides, we can equate the exponents.
⇒−16=8x
⇒x=−2