What is sqrt(9)*x^2*3^{2x-x^2} ?

The solution to sqrt(9)*x^2*3^{2x-x^2} is 3^{1+2x-x^2}x^2

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simplify sqrt(9)x^23^{2x-x^2}

simplify

9 \cdot x^{2} \cdot 3^{2 x - x^{2}}

3^{1 + 2 x - x^{2}} x^{2}

Solution steps

9 x^{2} \cdot 3^{2 x - x^{2}}

9 = 3

= 3 x^{2} \cdot 3^{2 x - x^{2}}

Apply exponent rule:

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

3 \cdot 3^{2 x - x^{2}} = 3^{1 + 2 x - x^{2}}

= 3^{1 + 2 x - x^{2}} x^{2}

(\frac{a ^{4}}{a ^{1}})^{2}

[\frac{( x ^{6} y ^{9} )}{1000}]^{\frac{1}{3}}

f (x) = 3 x^{10} - 11

f - 1 (f (a))

2 a (- 2 a)^{2}

What is sqrt(9)*x^2*3^{2x-x^2} ?
The solution to sqrt(9)*x^2*3^{2x-x^2} is 3^{1+2x-x^2}x^2