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Popular >

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

Solution

simplify

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

Solution

16 e^{8 x}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add similar elements:

4 x + 4 x = 8 x

= 4^{2} e^{8 x}

4^{2} = 16

= 16 e^{8 x}

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Frequently Asked Questions (FAQ)

What is 4e^{4x}*4e^{4x} ?
The solution to 4e^{4x}*4e^{4x} is 16e^{8x}