What is (-0.8)^{-6}(-0.8)^3(0.8)^5 ?

The solution to (-0.8)^{-6}(-0.8)^3(0.8)^5 is -16/25

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simplify (-0.8)^{-6}(-0.8)^3(0.8)^5

simplify

(- 0.8)^{- 6} (- 0.8)^{3} (0.8)^{5}

- \frac{16}{25}

Decimal Notation

- 0.64

Solution steps

(- 0.8)^{- 6} (- 0.8)^{3} \cdot 0. 8^{5}

(- 0.8)^{- 6} (- 0.8)^{3} = \frac{1}{- 0.512}

= \frac{1}{- 0.512} \cdot 0. 8^{5}

\frac{1}{- 0.512} \cdot 0. 8^{5} = - \frac{0.32768}{0.512}

= - \frac{0.32768}{0.512}

\frac{0.32768}{0.512} = \frac{32768}{51200}

= - \frac{32768}{51200}

Factor the number:

32768 = 2048 \cdot 16

= - \frac{2048 \cdot 16}{51200}

Factor the number:

51200 = 2048 \cdot 25

= - \frac{2048 \cdot 16}{2048 \cdot 25}

Cancel the common factor:

2048

= - \frac{16}{25}

7 \frac{1}{3}

\frac{2}{3 + 3}

\frac{4 + 3 i}{- 10 + i}

(5 a - 7 b) (a + 3 b)

(x^{2} - 3)^{2} - 3

What is (-0.8)^{-6}(-0.8)^3(0.8)^5 ?
The solution to (-0.8)^{-6}(-0.8)^3(0.8)^5 is -16/25