Instructions

Find out the approximate value which should replace the question mark (?) in the following questions. (You are not expected to find out the exact value)

Question 171

$$95^{3.7} \div 95^{0.9989} = 95^{?}$$

Solution

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Let the unknown quantity be 'p'.

$$95^{3.7} \div 95^{0.9989} = 95^{p}$$

Using Property,

$$a^{b}\div{a^{c}}=a^{b-c}$$

$$95^{3.7-.9989}=95^{p}$$

$$95^{2.7}=95^{p}$$

Comparing powers of 95 both sides,

$$p=2.7$$

Hence, Option E is correct.

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