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Simplify the following expression.
12a376c5
3a284c5
O A 4a6²c
OB.
9a62
OC. 4a62
OD. 9ab2cC

Sagot :

MrRoyal

Answer:

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}=4ab^{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex]

Required

Simplify

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex]

To solve this, we apply the following law of indices:

[tex]\frac{m^x}{m^y} = m^{x-y}[/tex]

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex] becomes

[tex]\frac{12}{3}a^{3-2}b^{6-4}c^{5-5}[/tex]

[tex]\frac{12}{3}a^{1}b^{2}c^{0}[/tex]

[tex]c^0 = 1[/tex]; So, we have

[tex]\frac{12}{3}a^{1}b^{2}*1[/tex]

Finally,

[tex]4ab^{2}[/tex]

Hence:

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}=4ab^{2}[/tex]

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