What is (((((12))/((23)^2))^2)^2)^2 ?

The solution to (((((12))/((23)^2))^2)^2)^2 is (429981696)/(23^{16)}

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simplify (((((12))/((23)^2))^2)^2)^2

simplify

(\frac{( 12 )}{( 23 ) ^{2}})^{2}^{2}^{2}

\frac{429981696}{2 3 ^{16}}

Decimal Notation

7.0114 E - 14

Solution steps

(\frac{( 12 )}{( 23 ) ^{2}})^{2}^{2}^{2}

((\frac{12}{2 3 ^{2}})^{2})^{2} : (\frac{12}{2 3 ^{2}})^{4}

= ((\frac{12}{2 3 ^{2}})^{4})^{2}

Apply exponent rule:

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

= (\frac{12}{2 3 ^{2}})^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= (\frac{12}{2 3 ^{2}})^{8}

Apply exponent rule:

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

= \frac{1 2 ^{8}}{( 2 3 ^{2} ) ^{8}}

(2 3^{2})^{8} : 2 3^{16}

= \frac{1 2 ^{8}}{2 3 ^{16}}

1 2^{8} = 429981696

= \frac{429981696}{2 3 ^{16}}

1.73 \cdot 1 0^{- 5}

10000 \cdot e^{- \frac{3}{4} (2 - 3)^{\frac{4}{3}}}

2.35 \cdot 1 0^{- 3}

5^{- l o g_{5} (2)}

What is (((((12))/((23)^2))^2)^2)^2 ?
The solution to (((((12))/((23)^2))^2)^2)^2 is (429981696)/(23^{16)}