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Popular >

simplify (2a^3b^5c^2)^4

Solution

simplify

(2 a^{3} \cdot b^{5} \cdot c^{2})^{4}

Solution

16 a^{12} b^{20} c^{8}

Solution steps

(2 a^{3} b^{5} c^{2})^{4}

Apply exponent rule:

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

(2 a^{3} b^{5} c^{2})^{4} = 2^{4} (a^{3})^{4} (b^{5})^{4} (c^{2})^{4}

= 2^{4} (a^{3})^{4} (b^{5})^{4} (c^{2})^{4}

2^{4} = 16

= 16 (a^{3})^{4} (b^{5})^{4} (c^{2})^{4}

Simplify

(a^{3})^{4} : a^{12}

= 16 a^{12} (b^{5})^{4} (c^{2})^{4}

Simplify

(b^{5})^{4} : b^{20}

= 16 a^{12} b^{20} (c^{2})^{4}

Simplify

(c^{2})^{4} : c^{8}

= 16 a^{12} b^{20} c^{8}

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Frequently Asked Questions (FAQ)

What is (2a^3*b^5*c^2)^4 ?
The solution to (2a^3*b^5*c^2)^4 is 16a^{12}b^{20}c^8