What is f^{-3}(f^2)(f^{-3}) ?

The solution to f^{-3}(f^2)(f^{-3}) is 1/(f^4)

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simplify f^{-3}(f^2)(f^{-3})

simplify

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

\frac{1}{f ^{4}}

Solution steps

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

Simplify

f^{- 3} (f^{2}) (f^{- 3}) : f^{- 3} f^{2} f^{- 3}

= f^{- 3} f^{2} f^{- 3}

Apply exponent rule:

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

f^{- 3} f^{2} f^{- 3} = f^{- 3 + 2 - 3}

= f^{- 3 + 2 - 3}

Add/Subtract the numbers:

- 3 + 2 - 3 = - 4

= f^{- 4}

Apply exponent rule:

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

f^{- 4} = \frac{1}{f ^{4}}

= \frac{1}{f ^{4}}

98 a^{2} b^{2} - 50 x^{2} y^{2}

3 \cdot (2 x - 1) + 21 = 5 \cdot (3 x - 2) + 1

(7 x - 1)^{2} + 1 = 0

2 (2 x - 4) = 3 (2 x - 4)

∣ 5 x - 1 ∣ > 14