Question

What is the property and how are the exponents combined?

x^3 times x^2 (x^3)^2 x^6 divided by x^2

Answer 1

x^15

Explanation:

x^3 * x^2 (x^3)^2 x^6

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x^2

First I will use the power of powers x^a^b = x^(a*b)

x^3 * x^2 x^(3*2) x^6

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x^2

x^3 * x^2 x^(6) x^6

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x^2

Next we will use the multiplication rule x^a * x^b = x^(a+b)

x^(3 +2+6+6)

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x^2

x^(17)

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x^2

Next we will use quotient rule x^a / x^b = x^(a-b)

x^(17 -2)

x^15