How do you simplify $(5k^2m)^3[(4km^4)^2]^2$ ?

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Answer 1 · 2017-10-22T01:45:51

$=> 32000 k^10 m^19$

$(5k^2m)^3[(4km^4)^2]^2$

Use Rule: $(a^m)^n = a^(mn)$

$(5^3k^(2xx3)m^3[(4^2k^2m^(4xx2)]^2$

$=>(125k^6m^3)[(16k^2m^8)]^2$

$=>(125k^6m^3)(16^2k^(2xx2)m^(8xx2)$

$=>(125k^6m^3)(256k^4m^16)$

Use Rule : $a^m\ times a^n = a^(m+n)$

$=> 125xx256 k^(6+4) m^(3+16)$

$=> 32000 k^10 m^19$

this can be written as :

$=> 2^5xx10^3k^10m^19$ -----------as $32000= 2^5 xx 10^3$

How do you simplify (5k^2m)^3[(4km^4)^2]^2(5k^2m)^3[(4km^4)^2]^2?