What is 1.9762*(0.0625)^{-1.01} ?

The solution to 1.9762*(0.0625)^{-1.01} is (9881)/(5000*0.0625^{1.01)}

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simplify 1.9762*(0.0625)^{-1.01}

simplify

1.9762 \cdot (0.0625)^{- 1.01}

\frac{9881}{5000 \cdot 0.062 5 ^{1.01}}

Decimal Notation

32.50813 \dots

Solution steps

1.9762 \cdot 0.062 5^{- 1.01}

Apply exponent rule:

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

0.062 5^{- 1.01} = \frac{1}{0.062 5 ^{1.01}}

= 1.9762 \cdot \frac{1}{0.062 5 ^{1.01}}

1.9762 \cdot \frac{1}{0.062 5 ^{1.01}} = \frac{1.9762}{0.062 5 ^{1.01}}

= \frac{1.9762}{0.062 5 ^{1.01}}

\frac{1.9762}{0.062 5 ^{1.01}} = \frac{19762}{10000 \cdot 0.062 5 ^{1.01}}

= \frac{19762}{10000 \cdot 0.062 5 ^{1.01}}

Factor the number:

19762 = 2 \cdot 9881

= \frac{2 \cdot 9881}{10000 \cdot 0.062 5 ^{1.01}}

Factor the number:

10000 = 2 \cdot 5000

= \frac{2 \cdot 9881}{2 \cdot 5000 \cdot 0.062 5 ^{1.01}}

Cancel the common factor:

2

= \frac{9881}{5000 \cdot 0.062 5 ^{1.01}}

(- e^{- x}) (- e^{- x})

3 (2)^{3}

e^{4 t} \cdot e^{- s t}

e^{- 4.8}

What is 1.9762*(0.0625)^{-1.01} ?
The solution to 1.9762*(0.0625)^{-1.01} is (9881)/(5000*0.0625^{1.01)}