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Popular >

simplify 3e^4\times 3e^5

Solution

simplify

3 e^{4} \cdot 3 e^{5}

Solution

9 e^{9}

+1

Decimal Notation

72927.75534 \dots

Solution steps

3 e^{4} \cdot 3 e^{5}

Apply exponent rule:

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

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

= e^{4} \cdot 3^{1 + 1} e^{5}

Add the numbers:

1 + 1 = 2

= e^{4} \cdot 3^{2} e^{5}

Apply exponent rule:

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

e^{4} e^{5} = e^{4 + 5}

= 3^{2} e^{4 + 5}

Add the numbers:

4 + 5 = 9

= 3^{2} e^{9}

3^{2} = 9

= 9 e^{9}

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Frequently Asked Questions (FAQ)

What is 3e^4\times 3e^5 ?
The solution to 3e^4\times 3e^5 is 9e^9