What is (5.36*10^{136})(6.49*10^{-140}) ?

The solution to (5.36*10^{136})(6.49*10^{-140}) is 0.00347864

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simplify (5.3610^{136})(6.4910^{-140})

simplify

(5.36 \cdot 1 0^{136}) (6.49 \cdot 1 0^{- 140})

0.00347864

Solution steps

(5.36 \cdot 1 0^{136}) (6.49 \cdot 1 0^{- 140})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{136} \cdot 1 0^{- 140} = 1 0^{136 - 140}

= 5.36 \cdot 6.49 \cdot 1 0^{136 - 140}

Subtract the numbers:

136 - 140 = - 4

= 5.36 \cdot 6.49 \cdot 1 0^{- 4}

Apply exponent rule:

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

1 0^{- 4} = \frac{1}{1 0 ^{4}}

= 5.36 \cdot 6.49 \cdot \frac{1}{1 0 ^{4}}

Multiply the numbers:

5.36 \cdot 6.49 = 34.7864

= 34.7864 \cdot \frac{1}{1 0 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 34.7864}{1 0 ^{4}}

Multiply the numbers:

1 \cdot 34.7864 = 34.7864

= \frac{34.7864}{1 0 ^{4}}

1 0^{4} = 10000

= \frac{34.7864}{10000}

Divide the numbers:

\frac{34.7864}{10000} = 0.00347864

= 0.00347864

\frac{x ^{3}}{( x ^{2} + 1 ) ^{3}}

750000 \cdot e^{- 0.05 \cdot 5}

1101100100 \cdot 1 0^{- 10}

e^{x - y} \cdot e^{x - y}

What is (5.36*10^{136})(6.49*10^{-140}) ?
The solution to (5.36*10^{136})(6.49*10^{-140}) is 0.00347864