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Simplify (3power(-5) Xx 10power(-5) Xx 125)By(5power(-7) Xx 6power(-5)) - Laws of Exponents

Sum

Simplify `(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`

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Solution

`(3^(-5)xx10^(-5)xx125)/(5^(-7)xx6^(-5))=(3^(-5)xx(2xx5)xx5^3)/(5^(-7)xx(2xx3)^(-5))`

`=(3^(-5)xx2^(-5)xx5^(-5)xx5^3)/(5^(-7)xx2^(-5)xx3^(-5))`      ...`[(axxb)^m = a^mxxb^(m)]`

`=3^(-5-(-5))xx2^(-5-(-5))xx5^(-5+3-(-7))`   ...(`a^m div a^n=a^(m-n)`)

= 3× 20 × 5   ...(a0 = 1)

=55

Concept: Laws of Exponents
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