What is e^{1/2}*2e^2*5e^3 ?

The solution to e^{1/2}*2e^2*5e^3 is 10e^{11/2}

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simplify e^{1/2}2e^25e^3

simplify

e^{\frac{1}{2}} \cdot 2 e^{2} \cdot 5 e^{3}

10 e^{\frac{11}{2}}

Decimal Notation

2446.91932 \dots

Solution steps

e^{\frac{1}{2}} \cdot 2 e^{2} \cdot 5 e^{3}

Apply exponent rule:

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

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

= e^{\frac{1}{2}} \cdot 2 \cdot 5 e^{2 + 3}

Add the numbers:

2 + 3 = 5

= e^{\frac{1}{2}} \cdot 2 \cdot 5 e^{5}

Multiply the numbers:

2 \cdot 5 = 10

= 10 e^{5} e^{\frac{1}{2}}

Apply exponent rule:

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

e^{\frac{1}{2}} e^{5} = e^{\frac{1}{2} + 5}

= 10 e^{\frac{1}{2} + 5}

e^{\frac{1}{2} + 5} = e^{\frac{11}{2}}

= 10 e^{\frac{11}{2}}

(x^{2} + (y - 1)^{2}) \cdot x^{2} + (y + 1)^{2}

x + 2^{2}

(\frac{1}{3})^{4}

\frac{e ^{12 x}}{e ^{\frac{4 x}{3}}}