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Popular >

simplify (4*6xy^6)^4

Solution

simplify

(4 \cdot 6 x y^{6})^{4}

Solution

331776 x^{4} y^{24}

Solution steps

(4 \cdot 6 x y^{6})^{4}

Apply exponent rule:

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

(4 \cdot 6 x y^{6})^{4} = 4^{4} \cdot 6^{4} x^{4} (y^{6})^{4}

= 4^{4} \cdot 6^{4} x^{4} (y^{6})^{4}

4^{4} = 256

= 256 \cdot 6^{4} x^{4} (y^{6})^{4}

6^{4} = 1296

= 256 \cdot 1296 x^{4} (y^{6})^{4}

Simplify

(y^{6})^{4} : y^{24}

= 256 \cdot 1296 x^{4} y^{24}

Multiply the numbers:

256 \cdot 1296 = 331776

= 331776 x^{4} y^{24}

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Frequently Asked Questions (FAQ)

What is (4*6xy^6)^4 ?
The solution to (4*6xy^6)^4 is 331776x^4y^{24}