What is (6.67*10^{-11})(6*10^{24}) ?

The solution to (6.67*10^{-11})(6*10^{24}) is 4.002E14

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simplify (6.6710^{-11})(610^{24})

simplify

(6.67 \cdot 1 0^{- 11}) (6 \cdot 1 0^{24})

4.002 E 14

Solution steps

(6.67 \cdot 1 0^{- 11}) (6 \cdot 1 0^{24})

Apply exponent rule:

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

= 1 0^{24} \cdot 6 \cdot 6.67 \cdot \frac{1}{1 0 ^{11}}

Multiply fractions:

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

= 6.67 \cdot \frac{1 0 ^{24} \cdot 1 \cdot 6}{1 0 ^{11}}

\frac{1 \cdot 6 \cdot 1 0 ^{24}}{1 0 ^{11}} = 1 0^{13} \cdot 6

= 1 0^{13} \cdot 6 \cdot 6.67

Multiply the numbers:

6.67 \cdot 6 = 40.02

= 1 0^{13} \cdot 40.02

Convert element to a decimal form

1 0^{13} = 10000000000000

= 10000000000000 \cdot 40.02

Multiply the numbers:

40.02 \cdot 10000000000000 = 4.002 E 14

= 4.002 E 14

\frac{- 60}{10}

2 (280)

5.4 \cdot 1 0^{- 4}

What is (6.67*10^{-11})(6*10^{24}) ?
The solution to (6.67*10^{-11})(6*10^{24}) is 4.002E14