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Popular >

simplify (5e^x)*(5e^x)

Solution

simplify

(5 e^{x}) \cdot (5 e^{x})

Solution

25 e^{2 x}

Solution steps

(5 e^{x}) (5 e^{x})

Apply exponent rule:

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

5 \cdot 5 = 5^{1 + 1}

= e^{x} \cdot 5^{1 + 1} e^{x}

Add the numbers:

1 + 1 = 2

= e^{x} \cdot 5^{2} e^{x}

Apply exponent rule:

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

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

= 5^{2} e^{x + x}

Add similar elements:

x + x = 2 x

= 5^{2} e^{2 x}

5^{2} = 25

= 25 e^{2 x}

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Frequently Asked Questions (FAQ)

What is (5e^x)*(5e^x) ?
The solution to (5e^x)*(5e^x) is 25e^{2x}