Simplify: [(-2)³ × (-2)⁷] / (3 × 4⁶)

Solution:

Given, [(-2)³ × (-2)⁷] / (3 × 4⁶), using the exponent law an × am = am + n

⇒ (-2)10 / (3 × (2²)⁶) = (-1)10(2)10 / [3 × (2)12]

= (1) / [3 × (2)12 - 10] using the exponent law an / am = 1 / am - n

= 1/12

✦ Try This: Simplify: [ (3)10 × (2)-12] / [ (3)8 × (2)-14]

Given, [ (3)10 × (2)-12] / [ (3)8 × (2)-14]

Using the identities, an / am = an - m

[(3)10 - 8 × (2)-12 + 14] = (3)² × (2)², using the identity am × bm = (ab)m

= (3 × 2)² = 6² = 36

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

NCERT Exemplar Class 8 Maths Chapter 8 Sample Problem 8

Simplify: [(-2)³ × (-2)⁷] / (3 × 4⁶)

Summary:

On simplifying [(-2)³ × (-2)⁷] ÷ (3 × 4⁶), we get 1/12

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