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Popular >

simplify ((-1.6)^{-4})5

Solution

simplify

((- 1.6)^{- 4}) 5

Solution

0.76293 \dots

Solution steps

((- 1.6)^{- 4}) \cdot 5

Apply rule:

(a) = a

((- 1.6)^{- 4}) = (- 1.6)^{- 4}

= (- 1.6)^{- 4} \cdot 5

Apply exponent rule:

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

(- 1.6)^{- 4} = \frac{1}{( - 1.6 ) ^{4}}

= \frac{1}{( - 1.6 ) ^{4}} \cdot 5

(- 1.6)^{4} = 6.5536

= \frac{1}{6.5536} \cdot 5

Divide the numbers:

\frac{1}{6.5536} = 0.15258 \dots

= 0.15258 \dots \cdot 5

Multiply the numbers:

0.15258 \dots \cdot 5 = 0.76293 \dots

= 0.76293 \dots

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Frequently Asked Questions (FAQ)

What is ((-1.6)^{-4})5 ?
The solution to ((-1.6)^{-4})5 is 0.76293…