What is 160e^{-(ln(2)70)/(30)} ?

The solution to 160e^{-(ln(2)70)/(30)} is (160}{e^{\frac{7ln(2))/3}}

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simplify 160e^{-(ln(2)70)/(30)}

simplify

160 e^{- \frac{l n ( 2 ) 70}{30}}

\frac{160}{e ^{\frac{7 l n ( 2 )}{3}}}

Decimal Notation

31.74802 \dots

Solution steps

160 e^{- \frac{l n ( 2 ) \cdot 70}{30}}

Apply exponent rule:

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

= 160 \cdot \frac{1}{e ^{\frac{70 l n ( 2 )}{30}}}

\frac{1}{e ^{\frac{l n ( 2 ) \cdot 70}{30}}} = \frac{1}{e ^{\frac{7 l n ( 2 )}{3}}}

= 160 \cdot \frac{1}{e ^{\frac{7 l n ( 2 )}{3}}}

Multiply fractions:

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

= \frac{1 \cdot 160}{e ^{\frac{7 l n ( 2 )}{3}}}

Multiply the numbers:

1 \cdot 160 = 160

= \frac{160}{e ^{\frac{7 l n ( 2 )}{3}}}

\frac{1}{8} e^{- \frac{6}{8}}

4 \cdot 7^{2}

4 π (8.85 \cdot 1 0^{- 12})

What is 160e^{-(ln(2)70)/(30)} ?
The solution to 160e^{-(ln(2)70)/(30)} is (160}{e^{\frac{7ln(2))/3}}