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Exponent properties Calculator

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1

Solved example of exponent properties

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

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\left(\left(3xy^2\right)^4\left(2x^3y^4\right)^3\right)^2}{1024\left(x^2y^3\right)^5}$
3

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\left(\left(3xy^2\right)^4\left(2x^3y^4\right)^3\right)^2}{1024x^{10}y^{15}}$
4

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\left(3xy^2\right)^{8}\left(2x^3y^4\right)^{6}}{1024x^{10}y^{15}}$
5

The power of a product is equal to the product of it's factors raised to the same power

$\frac{6.407227\left(xy^2\right)^{8}\left(2x^3y^4\right)^{6}}{x^{10}y^{15}}$
6

The power of a product is equal to the product of it's factors raised to the same power

$\frac{6.407227x^{8}y^{16}\left(2x^3y^4\right)^{6}}{x^{10}y^{15}}$
7

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\frac{6561}{16}x^{8}y^{16}\left(x^3y^4\right)^{6}}{x^{10}y^{15}}$
8

The power of a product is equal to the product of it's factors raised to the same power

$\frac{\frac{6561}{16}x^{8}y^{16}x^{18}y^{24}}{x^{10}y^{15}}$
9

When multiplying exponents with same base we can add the exponents

$\frac{\frac{6561}{16}x^{26}y^{16}y^{24}}{x^{10}y^{15}}$
10

When multiplying exponents with same base we can add the exponents

$\frac{\frac{6561}{16}y^{40}x^{26}}{x^{10}y^{15}}$
11

Simplify the fraction $\frac{\frac{6561}{16}y^{40}x^{26}}{x^{10}y^{15}}$ by $y$

$\frac{\frac{6561}{16}y^{25}x^{26}}{x^{10}}$
12

Simplify the fraction $\frac{\frac{6561}{16}y^{25}x^{26}}{x^{10}}$ by $x$

$\frac{6561}{16}y^{25}x^{16}$

Final Answer

$\frac{6561}{16}y^{25}x^{16}$

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