What is 8*(0.77)^2(1-0.77)^{-2} ?

The solution to 8*(0.77)^2(1-0.77)^{-2} is 89.66351…

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simplify 8*(0.77)^2(1-0.77)^{-2}

simplify

8 \cdot (0.77)^{2} (1 - 0.77)^{- 2}

89.66351 \dots

Solution steps

8 (0.77)^{2} (1 - 0.77)^{- 2}

Apply exponent rule:

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

= 8 \cdot 0.7 7^{2} \cdot \frac{1}{( 1 - 0.77 ) ^{2}}

Subtract the numbers:

1 - 0.77 = 0.23

= 8 \cdot 0.7 7^{2} \cdot \frac{1}{0.2 3 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 8 \cdot 0.7 7 ^{2}}{0.2 3 ^{2}}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8 \cdot 0.7 7 ^{2}}{0.2 3 ^{2}}

8 \cdot 0.7 7^{2} = 4.7432

= \frac{4.7432}{0.2 3 ^{2}}

0.2 3^{2} = 0.0529

= \frac{4.7432}{0.0529}

Divide the numbers:

\frac{4.7432}{0.0529} = 89.66351 \dots

= 89.66351 \dots

- e^{- 100}

(4 x^{3} y^{5}) (5 x^{5} y^{4})

(6 b) (2 b^{2})

e^{- \frac{86400}{500}}

(a + 3 b)^{2} (a - 3 b)^{2}

What is 8*(0.77)^2(1-0.77)^{-2} ?
The solution to 8*(0.77)^2(1-0.77)^{-2} is 89.66351…