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Popular >

simplify 10^8*e^{-0.257}

Solution

simplify

1 0^{8} \cdot e^{- 0.257}

Solution

77336821.37654 \dots

Solution steps

1 0^{8} e^{- 0.257}

Apply exponent rule:

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

= 1 0^{8} \cdot \frac{1}{e ^{0.257}}

Multiply fractions:

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

= \frac{1 \cdot 1 0 ^{8}}{e ^{0.257}}

Multiply:

1 \cdot 1 0^{8} = 1 0^{8}

= \frac{1 0 ^{8}}{e ^{0.257}}

1 0^{8} = 100000000

= \frac{100000000}{e ^{0.257}}

e^{0.257} = 1.29304 \dots

= \frac{100000000}{1.29304 \dots}

Divide the numbers:

\frac{100000000}{1.29304 \dots} = 77336821.37654 \dots

= 77336821.37654 \dots

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Frequently Asked Questions (FAQ)

What is 10^8*e^{-0.257} ?
The solution to 10^8*e^{-0.257} is 77336821.37654…