(2-3)2 × (3-2)3 = ___________

Solution:

Given, (2-3)2 × (3-2)3

Using law of exponents : (am)n = amn

(2-3)² × (3-2)³ = (2)-6 × (3)-6

Using law of exponents : am × bm = (ab)m

(2)-6 × (3)-6

= (2 × 3)-6 = 6-6

✦ Try This: (4-6)2 × (5-2)6

Given, (4-6)2 × (5-2)6

Using law of exponents : (am)n = amn

(4-6)2 × (5-2)6 = (4)-12 × (5)-12

= (4 × 5)-12 = (20)-12

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Sample Problem 4

(2-3)2 × (3-2)3 = ___________

Summary:

(2-3)2 × (3-2)3 = 6-6

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