What is (5.98*10^{24})(6.67*10^{-11})(480) ?

The solution to (5.98*10^{24})(6.67*10^{-11})(480) is 1.91456E17

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simplify (5.9810^{24})(6.6710^{-11})(480)

simplify

(5.98 \cdot 1 0^{24}) (6.67 \cdot 1 0^{- 11}) (480)

1.91456 E 17

Solution steps

(5.98 \cdot 1 0^{24}) (6.67 \cdot 1 0^{- 11}) (480)

Apply exponent rule:

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

1 0^{24} \cdot 1 0^{- 11} = 1 0^{24 - 11}

= 5.98 \cdot 6.67 \cdot 1 0^{24 - 11} \cdot 480

Subtract the numbers:

24 - 11 = 13

= 5.98 \cdot 6.67 \cdot 1 0^{13} \cdot 480

Multiply the numbers:

5.98 \cdot 6.67 \cdot 480 = 19145.568

= 1 0^{13} \cdot 19145.568

Convert element to a decimal form

1 0^{13} = 10000000000000

= 10000000000000 \cdot 19145.568

Multiply the numbers:

19145.568 \cdot 10000000000000 = 1.91456 E 17

= 1.91456 E 17

9.3 \cdot 1 0^{- 2}

10 e^{- \frac{4.17 ( 10 )}{( 0.082 ) ^{2} ( 298.15 )}}

5.011 \cdot 1 0^{- 5}

5.67 \cdot 1 0^{- 8} \cdot 4 π (7 \cdot 1 0^{8})^{2} \cdot 578 0^{4}

9.3 \cdot 1 0^{- 4}

What is (5.98*10^{24})(6.67*10^{-11})(480) ?
The solution to (5.98*10^{24})(6.67*10^{-11})(480) is 1.91456E17