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

The solution to [((2/3)^2)^3]^4 is (16777216)/(3^{24)}

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simplify [((2/3)^2)^3]^4

simplify

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

\frac{16777216}{3 ^{24}}

Decimal Notation

0.00005 \dots

Solution steps

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

((\frac{2}{3})^{2})^{3} : (\frac{2}{3})^{6}

= [(\frac{2}{3})^{6}]^{4}

Apply exponent rule:

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

= (\frac{2}{3})^{6 \cdot 4}

Multiply the numbers:

6 \cdot 4 = 24

= (\frac{2}{3})^{24}

Apply exponent rule:

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

= \frac{2 ^{24}}{3 ^{24}}

2^{24} = 16777216

= \frac{16777216}{3 ^{24}}

(2.8 h^{4}) (5 h^{4})

\frac{1}{5} e^{- 10 t}

3 x 1 0^{- 5}

(e^{4})^{3^{2}}

(2 a^{3}) (5 a^{2} b) (a^{5} b^{3})

What is [((2/3)^2)^3]^4 ?
The solution to [((2/3)^2)^3]^4 is (16777216)/(3^{24)}