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Popular >

simplify (3x^2y^3)^4

Solution

simplify

(3 x^{2} y^{3})^{4}

Solution

81 x^{8} y^{12}

Solution steps

(3 x^{2} y^{3})^{4}

Apply exponent rule:

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

(3 x^{2} y^{3})^{4} = 3^{4} (x^{2})^{4} (y^{3})^{4}

= 3^{4} (x^{2})^{4} (y^{3})^{4}

3^{4} = 81

= 81 (x^{2})^{4} (y^{3})^{4}

Simplify

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

= 81 x^{8} (y^{3})^{4}

Simplify

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

= 81 x^{8} y^{12}

Popular Examples

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x^5+3x^4-5x^3-15x^2+4x+12>0

x^{5} + 3 x^{4} - 5 x^{3} - 15 x^{2} + 4 x + 12 > 0

simplify ((3s)/(7s^3))^2 simplify

(\frac{3 s}{7 s ^{3}})^{2}

- 3 x + 6 \leq 9

3 x^{2} - 6 x + 1 = 0

Frequently Asked Questions (FAQ)

What is (3x^2y^3)^4 ?
The solution to (3x^2y^3)^4 is 81x^8y^{12}