How do you simplify #\frac { ( 2c ) ^ { - 4} g ^ { 5} } { 8^ { 3} g ^ { - 3} }#?

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Answer 1 · 2017-02-20T05:50:06

The answer is #g^8/(8192c^4)#.

Simplify #((2c)^(-4)g^5)/(8^3g^(-3))#

Apply negative exponent rule #a^(-m)=1/(a^m)#.

#(g^5)/(16c^(4)8^3g^(-3))#

Apply quotient rule #a^(m)/(a^n)=a^(m-n)#.

#(g^(5-(-3)))/(16c^(4)8^3)"#

Simplify.

#g^((5+3))/(16c^(4)512)#

#(g^8)/(8192c^4)#