What is 70*1.5^{-0.4t} ?

The solution to 70*1.5^{-0.4t} is (70)/(1.17607…^t)

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simplify 70*1.5^{-0.4t}

simplify

70 \cdot 1. 5^{- 0.4 t}

\frac{70}{1.17607 \dots ^{t}}

Solution steps

70 \cdot 1. 5^{- 0.4 t}

Apply exponent rule:

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

1. 5^{- 0.4 t} = \frac{1}{1. 5 ^{0.4 t}}

= 70 \cdot \frac{1}{1. 5 ^{0.4 t}}

1. 5^{0.4 t} = 1.17607 \dots^{t}

= 70 \cdot \frac{1}{1.17607 \dots ^{t}}

Apply the fraction rule:

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

= \frac{70 \cdot 1}{1.17607 \dots ^{t}}

Multiply the numbers:

70 \cdot 1 = 70

= \frac{70}{1.17607 \dots ^{t}}

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