Question

simplyfy and express the result with positive exponent
3-⁵ × 10-⁵ × 125
_____________

5-⁷ × 6-⁵​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

3^-5 × 10^-5 × 125

______________

5^-7 × 6^-5

= 3^-5 × (2×5)^-5 × 5^3

________________

5^-7 × (2×3)^-5

= 3^-5 × 2^-5-(-5) × 5^-5 × 5^3

_________________

5^-7 × 2^-5 × 3^-5 × 5^3

= 3^-5-(-5) × 2^-5-(-5) × 5^-5+3-(-7)-3

= 3^-5+5 × 2^-5 +5 × 5^-2+7-3

= 3^0 × 2^0 × 5^-2+4

= 3^0 × 2^0 × 5^2

= 1 × 1 × 25

= 25

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