Answer :

2^{m + n} = 2^{mn}

⇒ m + n = mn

Let m = n

So we get

2m = m^{2}

⇒ m = 2

Since m = n, so

n = 2

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Master Exponents & Power37 mins

NCERT | Laws of Exponents25 mins

Quiz | Mastering Powers and Exponents45 mins

Advance Problems in Exponents & Power40 mins

Genius Quiz | Powers and Exponents27 mins

QUIZ | Exponents and Power35 mins

Champ Quiz | Power and Exponents31 mins

Smart Revision | Laws of Exponents46 mins

Smart Revision | Learning the Laws on Exponents50 mins

NCERT | Discussion on Exponents and Powers42 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

The number of paiKarnataka Board - Mathematics Part II

Simplify:

If (2^{m}Karnataka Board - Mathematics Part II

Use the laws of eKarnataka Board - Mathematics Part II

Can you find two Karnataka Board - Mathematics Part II

Suppose m and n aKarnataka Board - Mathematics Part II

Simplify:

Suppose b is a poKarnataka Board - Mathematics Part II

Which is larger: Karnataka Board - Mathematics Part II

Simplify: