What is (2/3 a^2b^2)^2*(-3ab)^4 ?

The solution to (2/3 a^2b^2)^2*(-3ab)^4 is 36a^8b^8

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simplify (2/3 a^2b^2)^2*(-3ab)^4

simplify

(\frac{2}{3} a^{2} b^{2})^{2} \cdot (- 3 ab)^{4}

36 a^{8} b^{8}

Solution steps

(\frac{2}{3} a^{2} b^{2})^{2} (- 3 ab)^{4}

Simplify

(\frac{2}{3} a^{2} b^{2})^{2} : \frac{4 a ^{4} b ^{4}}{9}

= \frac{4 a ^{4} b ^{4}}{9} (- 3 ab)^{4}

Simplify

(- 3 ab)^{4} : 81 a^{4} b^{4}

= \frac{4 a ^{4} b ^{4}}{9} \cdot 81 a^{4} b^{4}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 a ^{4} b ^{4} \cdot 81 a ^{4} b ^{4}}{9}

Divide the numbers:

\frac{81}{9} = 9

= 4 a^{4} b^{4} \cdot 9 a^{4} b^{4}

Multiply the numbers:

4 \cdot 9 = 36

= 36 a^{4} b^{4} a^{4} b^{4}

Simplify

a^{4} a^{4} : a^{8}

= 36 a^{8} b^{4} b^{4}

Simplify

b^{4} b^{4} : b^{8}

= 36 a^{8} b^{8}

(- 2 y^{5} z) (x^{2} z)

\frac{x ^{2} ( x - 4 )}{x - 3} \cdot \frac{( x - 3 ) ( x + 6 )}{x ^{3}}

lo g_{10} (a^{4} b)

20 \cdot lo g_{10} (1)

(n + 2) (n - 2)

What is (2/3 a^2b^2)^2*(-3ab)^4 ?
The solution to (2/3 a^2b^2)^2*(-3ab)^4 is 36a^8b^8