simplify 6sqrt(3^x)

Solution

simplify

6 3^{x}

2 \cdot 3^{\frac{x}{2} + 1}

Solution steps

6 3^{x}

3^{x} : 3^{\frac{x}{2}}

= 6 \cdot 3^{\frac{x}{2}}

Factor integer

6 = 3 \cdot 2

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

Apply exponent rule:

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

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

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

2.85 \cdot 1 0^{- 3}

\frac{( x + 100 ) ^{12}}{10 0 ^{12}}

A^{2} F^{2} B^{4} D^{5}

1.7 \cdot 1 0^{- 9} (x - 1 0^{- 5})

e^{e^{x}} e^{- e^{x}}