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Popular >

simplify 4e^{3x}*4e^{3x}

Solution

simplify

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

Solution

16 e^{6 x}

Solution steps

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

Apply exponent rule:

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

4 \cdot 4 = 4^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add similar elements:

3 x + 3 x = 6 x

= 4^{2} e^{6 x}

4^{2} = 16

= 16 e^{6 x}

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Frequently Asked Questions (FAQ)

What is 4e^{3x}*4e^{3x} ?
The solution to 4e^{3x}*4e^{3x} is 16e^{6x}