Step-by-step Solution

Simplify the algebraic expression $\left(x^2y^3\frac{4}{3}\right)^3\left(\frac{3}{16x^5}\right)^2$

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Step-by-step explanation

Problem to solve:

$\left(\frac{4}{3} x^2 y^3\right)^3\left(\frac{3}{16x^5}\right)^2$

Learn how to solve simplification of algebraic expressions problems step by step online.

$\left(\frac{4}{3}x^2y^3\right)^3\left(\frac{3}{16x^5}\right)^2$

Unlock this full step-by-step solution!

Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the algebraic expression (4/3x^2*y^3)^3(3/(16x^5))^2. Divide 4 by 3. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$\frac{y^{9}}{12x^{4}}$

Problem Analysis

$\left(\frac{4}{3} x^2 y^3\right)^3\left(\frac{3}{16x^5}\right)^2$

Time to solve it:

~ 0.15 seconds