What is e^{2x}(e^x)(9e^{3x}) ?

The solution to e^{2x}(e^x)(9e^{3x}) is 9e^{6x}

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simplify e^{2x}(e^x)(9e^{3x})

simplify

e^{2 x} (e^{x}) (9 e^{3 x})

9 e^{6 x}

Solution steps

e^{2 x} (e^{x}) (9 e^{3 x})

Apply exponent rule:

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

e^{2 x} e^{x} e^{3 x} = e^{2 x + x + 3 x}

= 9 e^{2 x + x + 3 x}

Add similar elements:

2 x + x + 3 x = 6 x

= 9 e^{6 x}

(6.72 \cdot 1 0^{4}) (2.91 \cdot 1 0^{3})

9 (- 4 a b^{2} c^{- 3})^{- 3}

634183.24 \cdot (1 + 0.1)^{- 3}

e^{- 3 \cdot 1}

e^{- (0.0009505 \cdot 1500)}