How do you simplify ${(2 m^{5} g^{11})}^{6}$ $(2m^5g^11)^6$ ?

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How do you simplify ${(2 m^{5} g^{11})}^{6}$ $(2m^5g^11)^6$ ?

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Answer 1 · 2018-03-03T15:49:39

$64 \cdot m^{30} \cdot g^{66}$ $64*m^30*g^66$

Explanation:

$(1) {(M \cdot N)}^{Z} = M^{Z} \cdot N^{Z}$ $color(red)((1)(M*N)^Z=M^Z*N^Z)$
$(2) {(A^{M})}^{N} = A^{M N}$ $color(red)((2)(A^M)^N=A^(MN))$
Here,
${(2 m^{5} g^{11})}^{6} = {(2)}^{6} \cdot {(m^{5})}^{6} \cdot {(g^{11})}^{6},$ $(2m^5g^11)^6=(2)^6*(m^5)^6*(g^11)^6,$ $[A p p l y : (1)]$ $color(blue)([Apply: (1)])$
${(2 m^{5} g^{11})}^{6} = 64 \cdot m^{30} \cdot g^{66},$ $(2m^5g^11)^6=64*m^30*g^66,$ $[A p p l y : (2)]$ $color(blue)([Apply:(2)])$

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How do you simplify ${(2 m^{5} g^{11})}^{6}$ $(2m^5g^11)^6$ ?

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How do you simplify ${(2 m^{5} g^{11})}^{6}$ $(2m^5g^11)^6$ ?