Answered

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Simplify (4ab^2)^3

Any help is appreciated

Sagot :

cosmickid287

Answer:

[tex]64a^{3} b^{6}[/tex]

Step-by-step explanation:

1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:

[tex](4ab^{2} )^3[/tex]

[tex]4^{3}[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

2) The variables are fine - you can't simplify them further. All you need to do now is multiply the [tex]4^{3}[/tex] out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"

[tex]4[/tex] · [tex]4[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

[tex]16[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

[tex]64a^{3} b^{6}[/tex]

Therefore, [tex]64a^{3} b^{6}[/tex] is the answer.

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