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Popular >

simplify 3a^2e^4*2a^3e^2

Solution

simplify

3 a^{2} e^{4} \cdot 2 a^{3} e^{2}

Solution

6 e^{6} a^{5}

Solution steps

3 a^{2} e^{4} \cdot 2 a^{3} e^{2}

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

= 3 e^{4} \cdot 2 a^{2 + 3} e^{2}

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 2 = 6

= 3 \cdot 2 a^{5} e^{6}

Multiply the numbers:

3 \cdot 2 = 6

= 6 e^{6} a^{5}

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Frequently Asked Questions (FAQ)

What is 3a^2e^4*2a^3e^2 ?
The solution to 3a^2e^4*2a^3e^2 is 6e^6a^5