What is expand (7^{2x^2})^{-3x-9} ?

The solution to expand (7^{2x^2})^{-3x-9} is 49^{-3x^3-9x^2}

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expand (7^{2x^2})^{-3x-9}

expand

(7^{2 x^{2}})^{- 3 x - 9}

4 9^{- 3 x^{3} - 9 x^{2}}

Solution steps

(7^{2 x^{2}})^{- 3 x - 9}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 7^{2 x^{2} (- 3 x - 9)}

Apply exponent rule:

a^{b x} = (a^{b})^{x}

7^{2 x^{2} (- 3 x - 9)} = (7^{2})^{x^{2} (- 3 x - 9)}

= (7^{2})^{x^{2} (- 3 x - 9)}

7^{2} = 49

= 4 9^{x^{2} (- 3 x - 9)}

Expand

x^{2} (- 3 x - 9) : - 3 x^{3} - 9 x^{2}

= 4 9^{- 3 x^{3} - 9 x^{2}}

(x - 3) (x - 2 - 5 i) (x - 2 + 5 i)

\frac{sin ( z )}{( z ^{2} - 25 ) ( z ^{2} + 9 )}

\frac{c N ( k - N )}{k + a N}

(6 x - 24 y) (\frac{4}{5})

What is expand (7^{2x^2})^{-3x-9} ?
The solution to expand (7^{2x^2})^{-3x-9} is 49^{-3x^3-9x^2}