What is [(2/3)^5]^4*[(2/3)^7]^3 ?

The solution to [(2/3)^5]^4*[(2/3)^7]^3 is (2199023255552)/(3^{41)}

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simplify [(2/3)^5]^4*[(2/3)^7]^3

simplify

[(\frac{2}{3})^{5}]^{4} \cdot [(\frac{2}{3})^{7}]^{3}

\frac{2199023255552}{3 ^{41}}

Decimal Notation

6.02918 E - 8

Solution steps

((\frac{2}{3})^{5})^{4} ((\frac{2}{3})^{7})^{3}

((\frac{2}{3})^{5})^{4} = \frac{1048576}{3 ^{20}}

= \frac{1048576}{3 ^{20}} ((\frac{2}{3})^{7})^{3}

((\frac{2}{3})^{7})^{3} = \frac{2097152}{3 ^{21}}

= \frac{1048576}{3 ^{20}} \cdot \frac{2097152}{3 ^{21}}

\frac{1048576}{3 ^{20}} \cdot \frac{2097152}{3 ^{21}} = \frac{2199023255552}{3 ^{41}}

= \frac{2199023255552}{3 ^{41}}

x e^{2 x} \cdot 2 e^{2 x}

(- 9 x^{4}) (- 4 x^{7}) (2 x^{- 2})

2 (x)

2 (6 + 5)

What is [(2/3)^5]^4*[(2/3)^7]^3 ?
The solution to [(2/3)^5]^4*[(2/3)^7]^3 is (2199023255552)/(3^{41)}