Question

simplify 3 power -5 x 10 power -4 x 5 power 4 by 5 power 2 x 6 power -5​

Answer 1

3-⁵ × 10-⁴ × 5⁴

5² × 6-⁵

3-⁵ × (2 ×5)-⁴ × 5⁴

5² × (2× 3)-⁵

3-⁵ × 2-⁴ × 5-⁴ × 5⁴

5² × 2-⁵ × 3-⁵

3-⁵ × 2-⁴ × 5-⁴+⁴

5² × 2-⁵ × 3-⁵

3-⁵ × 2-⁴ × 5⁰

5² × 2-⁵ × 3-⁵

3-⁵ × 2-⁴ × 1 (a⁰ = 1)

5² × 2-⁵ × 3-⁵

3-⁵ +⁵ x 2-⁴ +⁵

5²

3⁰ × 2¹ = 1 × 2

5² 25

= 2/25