What is (2sqrt(5))^3(2sqrt(5))^{-4} ?

The solution to (2sqrt(5))^3(2sqrt(5))^{-4} is 1/(2sqrt(5))

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simplify (2sqrt(5))^3(2sqrt(5))^{-4}

simplify

(25)^{3} (25)^{- 4}

\frac{1}{2 5}

Solution steps

(25)^{3} (25)^{- 4}

Apply exponent rule:

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

(25)^{3} (25)^{- 4} = (25)^{3 - 4}

= (25)^{3 - 4}

Subtract the numbers:

3 - 4 = - 1

= (25)^{- 1}

Apply exponent rule:

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

(25)^{- 1} = \frac{1}{2 5}

= \frac{1}{2 5}

9 - - 2 + 64 + - 18

(- 1 - x) (- 1 - x)

2 x \cdot 2 x^{2}

(g - f) (x)

\frac{5}{8} \div 1 \frac{1}{3}

What is (2sqrt(5))^3(2sqrt(5))^{-4} ?
The solution to (2sqrt(5))^3(2sqrt(5))^{-4} is 1/(2sqrt(5))