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Popular >

simplify (2fg^4)^4(fg)^6

Solution

simplify

(2 f g^{4})^{4} (f g)^{6}

Solution

16 f^{10} g^{22}

Solution steps

(2 f g^{4})^{4} (f g)^{6}

Simplify

(2 f g^{4})^{4} : 16 f^{4} g^{16}

= 16 f^{4} g^{16} (f g)^{6}

Apply exponent rule:

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

(f g)^{6} = f^{6} g^{6}

= 16 f^{4} g^{16} f^{6} g^{6}

Simplify

f^{4} f^{6} : f^{10}

= 16 f^{10} g^{16} g^{6}

Simplify

g^{16} g^{6} : g^{22}

= 16 f^{10} g^{22}

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Frequently Asked Questions (FAQ)

What is (2fg^4)^4(fg)^6 ?
The solution to (2fg^4)^4(fg)^6 is 16f^{10}g^{22}