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Popular >

simplify 3e^2*3e^3

Solution

simplify

3 e^{2} \cdot 3 e^{3}

Solution

9 e^{5}

+1

Solution steps

3 e^{2} \cdot 3 e^{3}

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

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

Add the numbers:

1 + 1 = 2

= e^{2} \cdot 3^{2} e^{3}

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

= 3^{2} e^{5}

3^{2} = 9

= 9 e^{5}

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Frequently Asked Questions (FAQ)

What is 3e^2*3e^3 ?
The solution to 3e^2*3e^3 is 9e^5