What is {[(7/11)^4]^5}^{-11} ?

The solution to {[(7/11)^4]^5}^{-11} is (11^{220})/(7^{220)}

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simplify {[(7/11)^4]^5}^{-11}

simplify

⎩ ⎨ ⎧ [(\frac{7}{11})^{4}]^{5} ⎭ ⎬ ⎫^{- 11}

\frac{1 1 ^{220}}{7 ^{220}}

Decimal Notation

1.53046 E 43

Solution steps

⎩ ⎨ ⎧ [(\frac{7}{11})^{4}]^{5} ⎭ ⎬ ⎫^{- 11}

[(\frac{7}{11})^{4}]^{5} : (\frac{7}{11})^{20}

= {(\frac{7}{11})^{20}}^{- 11}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( ( \frac{7}{11} ) ^{20} ) ^{11}}

((\frac{7}{11})^{20})^{11} : (\frac{7}{11})^{220}

= \frac{1}{( \frac{7}{11} ) ^{220}}

Apply exponent rule:

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

(\frac{7}{11})^{220} = \frac{7 ^{220}}{1 1 ^{220}}

= \frac{1}{\frac{7 ^{220}}{1 1 ^{220}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{1 1 ^{220}}{7 ^{220}}

\frac{3}{13}

x - 2^{2}

1 0^{- 10}

x (2 x)

What is {[(7/11)^4]^5}^{-11} ?
The solution to {[(7/11)^4]^5}^{-11} is (11^{220})/(7^{220)}