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Popular >

simplify (5)(5)*e^{1-(5)(5)}

Solution

simplify

(5) (5) \cdot e^{1 - (5) (5)}

Solution

\frac{25}{e ^{24}}

+1

Decimal Notation

9.43784 E - 10

Solution steps

(5) (5) e^{1 - (5) (5)}

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

= 5^{2} e^{1 - 5 \cdot 5}

e^{1 - 5 \cdot 5} = e^{- 24}

= 5^{2} e^{- 24}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

e^{- 24} = \frac{1}{e ^{24}}

= 5^{2} \cdot \frac{1}{e ^{24}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 5 ^{2}}{e ^{24}}

Multiply:

1 \cdot 5^{2} = 5^{2}

= \frac{5 ^{2}}{e ^{24}}

5^{2} = 25

= \frac{25}{e ^{24}}

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Frequently Asked Questions (FAQ)

What is (5)(5)*e^{1-(5)(5)} ?
The solution to (5)(5)*e^{1-(5)(5)} is (25)/(e^{24)}