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Popular >

simplify ((x^2)^3x^2)^2

Solution

simplify

((x^{2})^{3} x^{2})^{2}

Solution

x^{16}

Solution steps

((x^{2})^{3} x^{2})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

((x^{2})^{3} x^{2})^{2} = ((x^{2})^{3})^{2} (x^{2})^{2}

= ((x^{2})^{3})^{2} (x^{2})^{2}

Simplify

((x^{2})^{3})^{2} : x^{12}

= x^{12} (x^{2})^{2}

Simplify

(x^{2})^{2} : x^{4}

= x^{12} x^{4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{12} x^{4} = x^{12 + 4}

= x^{12 + 4}

Add the numbers:

12 + 4 = 16

= x^{16}

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Frequently Asked Questions (FAQ)

What is ((x^2)^3x^2)^2 ?
The solution to ((x^2)^3x^2)^2 is x^{16}