What is simplify-7*(-7)^{-4} ?

The solution to simplify-7*(-7)^{-4} is -1/343

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simplify-7*(-7)^{-4}

simplify

- 7 \cdot (- 7)^{- 4}

- \frac{1}{343}

Decimal Notation

- 0.00291 \dots

Solution steps

- 7 (- 7)^{- 4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

- 7 (- 7)^{- 4} = (- 7)^{1 - 4}

= (- 7)^{1 - 4}

Subtract the numbers:

1 - 4 = - 3

= (- 7)^{- 3}

Apply exponent rule:

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

(- 7)^{- 3} = \frac{1}{( - 7 ) ^{3}}

= \frac{1}{( - 7 ) ^{3}}

(- 7)^{3} = - 343

= \frac{1}{- 343}

Apply the fraction rule:

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

= - \frac{1}{343}

∣ 3 x - 8 ∣ = 4

- 17 + 8 x > - 25

2 x \leq 15

x + 20 + 4 x - 5 = 180

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