What is (666)^2left(2/3)^{-2} ?

The solution to (666)^2left(2/3)^{-2} is 998001elft

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simplify (666)^2left(2/3)^{-2}

simplify

(666)^{2} l e f t (\frac{2}{3})^{- 2}

998001 e l f t

Solution steps

(666)^{2} l e f t (\frac{2}{3})^{- 2}

Apply exponent rule:

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

= 66 6^{2} e \frac{1}{( \frac{2}{3} ) ^{2}} l f t

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

= 66 6^{2} e \frac{3 ^{2}}{2 ^{2}} l f t

Multiply fractions:

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

= \frac{3 ^{2} \cdot 66 6 ^{2} l e f t}{2 ^{2}}

Factor

66 6^{2} : 3^{4} \cdot 2^{2} \cdot 3 7^{2}

= \frac{3 ^{4} \cdot 3 ^{2} \cdot 2 ^{2} \cdot 3 7 ^{2} e l f t}{2 ^{2}}

3^{2} \cdot 2^{2} \cdot 3^{4} \cdot 3 7^{2} l e f t = 2^{2} \cdot 3^{6} \cdot 3 7^{2} l e f t

= \frac{3 ^{6} \cdot 2 ^{2} \cdot 3 7 ^{2} e l f t}{2 ^{2}}

Cancel the common factor:

2^{2}

= 3^{6} \cdot 3 7^{2} e l f t

Refine

= 998001 e l f t

(6.02214 \cdot 1 0^{23}) (9.27 \cdot 1 0^{- 23})

3^{3} \cdot \frac{2}{12}

x - 1 \cdot x + 4

\frac{1}{2} \times 2 2^{2}

What is (666)^2left(2/3)^{-2} ?
The solution to (666)^2left(2/3)^{-2} is 998001elft