What is ((2a^2-1)/(3*a^3))^2 ?

The solution to ((2a^2-1)/(3*a^3))^2 is ((2a^2-1)^2)/(9a^6)

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simplify ((2a^2-1)/(3*a^3))^2

simplify

(\frac{2 a ^{2} - 1}{3 \cdot a ^{3}})^{2}

\frac{( 2 a ^{2} - 1 ) ^{2}}{9 a ^{6}}

Solution steps

(\frac{2 a ^{2} - 1}{3 a ^{3}})^{2}

Apply exponent rule:

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

= \frac{( 2 a ^{2} - 1 ) ^{2}}{( 3 a ^{3} ) ^{2}}

Simplify

(3 a^{3})^{2} : 9 a^{6}

= \frac{( 2 a ^{2} - 1 ) ^{2}}{9 a ^{6}}

(\frac{a}{b})^{3} + (\frac{b}{c})^{3} + (\frac{c}{a})^{3} - 3

64 a^{6} - 729 b^{6}

x^{2} + (2 x)^{\frac{1}{2}} + x + 2

33 \cdot x^{3} - 55 \cdot y^{3}

\frac{( 25 x ^{2} - 15 x + 30 )}{5}

What is ((2a^2-1)/(3*a^3))^2 ?
The solution to ((2a^2-1)/(3*a^3))^2 is ((2a^2-1)^2)/(9a^6)