What is (2)^2(((y^2*x))/x)^2 ?

The solution to (2)^2(((y^2*x))/x)^2 is 4y^4

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simplify (2)^2(((y^2*x))/x)^2

simplify

(2)^{2} (\frac{( y ^{2} \cdot x )}{x})^{2}

4 y^{4}

Solution steps

2^{2} (\frac{y ^{2} x}{x})^{2}

2^{2} = 4

= 4 (\frac{y ^{2} x}{x})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{y ^{2} x}{x})^{2} = \frac{( y ^{2} x ) ^{2}}{x ^{2}}

= 4 \cdot \frac{( y ^{2} x ) ^{2}}{x ^{2}}

Simplify

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

= 4 \cdot \frac{y ^{4} x ^{2}}{x ^{2}}

Cancel the common factor:

x^{2}

= 4 y^{4}

- 4 (1 - a) - (5 + a) 2 - (a + 1) (a - 1) \cdot 0.3

(- 5 m^{6} n^{8})^{4}

\frac{( 5 x ^{2} - 15 x )}{( 5 x ^{2} + 15 x )}

3 x^{2} y^{2} + 4 y^{4}

(2 p + 7 q)^{3}