What is 3(2)^{-0.08x} ?

The solution to 3(2)^{-0.08x} is 3/(1.05701…^x)

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simplify 3(2)^{-0.08x}

simplify

3 (2)^{- 0.08 x}

\frac{3}{1.05701 \dots ^{x}}

Solution steps

3 \cdot 2^{- 0.08 x}

Apply exponent rule:

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

2^{- 0.08 x} = \frac{1}{2 ^{0.08 x}}

= 3 \cdot \frac{1}{2 ^{0.08 x}}

2^{0.08 x} = 1.05701 \dots^{x}

= 3 \cdot \frac{1}{1.05701 \dots ^{x}}

Apply the fraction rule:

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

= \frac{3 \cdot 1}{1.05701 \dots ^{x}}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3}{1.05701 \dots ^{x}}

115 (1.6 \cdot 1 0^{- 19})

(5.6 \cdot 1 0^{- 8}) (30 8^{4} - 27 8^{4})

1.78 \cdot 1 0^{- 4}

\frac{2}{21}

10 (1.08)^{- \frac{1}{2}}