Question 210250
*[Tex \LARGE \left(4x^3y\right)^{4}] Start with the given expression.



*[Tex \LARGE \left(4^1x^3y\right)^{4}] Rewrite *[Tex \LARGE 4] as *[Tex \LARGE 4^1].



*[Tex \LARGE 4^{\left(1\right)\left(4\right)}x^{\left(3\right)\left(4\right)}y^{\left(1\right)\left(4\right)}] Multiply the outer exponent by each of the inner exponents.



*[Tex \LARGE 4^{4}x^{12}y^{4}] Multiply the exponents.



*[Tex \LARGE 256x^{12}y^{4}] Raise *[Tex \LARGE 4] to the 4th power to get *[Tex \LARGE 256]



So *[Tex \LARGE \left(4x^3y\right)^{4}=256x^{12}y^{4}]