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“Write each of the following expression in the form ca^pb^q where c,p and q are numbers.” The first problem is “(2a^2)^3/b”.

So what I’m wondering is what kind of math this is b/c I’ve never seen this before. Also, if anyone can solve this first problem to give me a sense of how to do it, thank you!

Respuesta :

sqdancefan

Answer:

  [tex]8a^6b^{-1}[/tex]

Step-by-step explanation:

This is math that involves the properties of exponents. For this problem, three rules are used:

[tex](ab)^c=a^cb^c\\\\(a^b)^c=a^{bc}\\\\a^{-b}=\dfrac{1}{a^b}[/tex]

So, your expression can be written as ...

[tex]\dfrac{(2a^2)^3}{b}=\dfrac{2^3(a^2)^3}{b^1}=8a^6b^{-1}[/tex]

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