What is simplify-4e^{4x}*4e^{4x} ?

The solution to simplify-4e^{4x}*4e^{4x} is -16e^{8x}

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

simplify

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

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