simplify (3x^5y)^4

Solution

simplify

(3 x^{5} y)^{4}

81 x^{20} y^{4}

Solution steps

(3 x^{5} y)^{4}

Apply exponent rule:

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

(3 x^{5} y)^{4} = 3^{4} (x^{5})^{4} y^{4}

= 3^{4} (x^{5})^{4} y^{4}

3^{4} = 81

= 81 (x^{5})^{4} y^{4}

Simplify

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

= 81 x^{20} y^{4}

cos (θ) + cos (θ)

(6 x^{2} - 3 x - 7) - (8 x^{2} + 7 x + 4)

\frac{π}{\frac{3}{2}}

(\frac{1}{4 x ^{3} y ^{4}}) (\frac{1}{3 x y ^{2}})

4 \cdot \frac{5}{4}