What is ((4x^3z)/(5y^5))^2 ?

The solution to ((4x^3z)/(5y^5))^2 is (16x^6z^2)/(25y^{10)}

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simplify ((4x^3z)/(5y^5))^2

simplify

(\frac{4 x ^{3} z}{5 y ^{5}})^{2}

\frac{16 x ^{6} z ^{2}}{25 y ^{10}}

Solution steps

(\frac{4 x ^{3} z}{5 y ^{5}})^{2}

Apply exponent rule:

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

= \frac{( 4 x ^{3} z ) ^{2}}{( 5 y ^{5} ) ^{2}}

Simplify

(4 x^{3} z)^{2} : 16 x^{6} z^{2}

= \frac{16 x ^{6} z ^{2}}{( 5 y ^{5} ) ^{2}}

Simplify

(5 y^{5})^{2} : 25 y^{10}

= \frac{16 x ^{6} z ^{2}}{25 y ^{10}}

∣ 5 x + 2 ∣ - 2 < 3

(\frac{r ^{2} t ^{- 3}}{r ^{- 3} t ^{5}})^{- 8}

\frac{10}{3}

3 v + 4 > - 2 or 4 v - 2 < 10

5 - 4 x > - 4

What is ((4x^3z)/(5y^5))^2 ?
The solution to ((4x^3z)/(5y^5))^2 is (16x^6z^2)/(25y^{10)}