Basic Math Examples

Evaluate (10^-3)/(6.63^-34*3*(10^8)/(633*10^-9))
10-36.63-34310863310-9
Step 1
Divide using scientific notation.
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Step 1.1
Group coefficients together and exponents together to divide numbers in scientific notation.
10-36.63-343((1633)(10810-9))
Step 1.2
Divide 1 by 633.
10-36.63-343(0.0015797710810-9)
Step 1.3
Subtract the exponent from the denominator from the exponent of the numerator for the same base
10-36.63-343(0.00157977108-9-1)
Step 1.4
Multiply -9 by -1.
10-36.63-343(0.00157977108+9)
Step 1.5
Add 8 and 9.
10-36.63-3430.001579771017
10-36.63-3430.001579771017
Step 2
Move 10-3 to the denominator using the negative exponent rule b-n=1bn.
16.63-3430.001579771017103
Step 3
Multiply 1017 by 103 by adding the exponents.
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Step 3.1
Move 103.
16.63-343(0.00157977(1031017))
Step 3.2
Use the power rule aman=am+n to combine exponents.
16.63-343(0.00157977103+17)
Step 3.3
Add 3 and 17.
16.63-3430.001579771020
16.63-3430.001579771020
Step 4
Move 6.63-34 to the numerator using the negative exponent rule 1b-n=bn.
6.633430.001579771020
Step 5
Raise 6.63 to the power of 34.
854004119778106000000000000030.001579771020
Step 6
Multiply 3 by 0.00157977.
85400411977810600000000000000.004739331020
Step 7
Move the decimal point in 0.00473933 to the right by 3 places and decrease the power of 1020 by 3.
85400411977810600000000000004.739336491017
Step 8
Divide using scientific notation.
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Step 8.1
Group coefficients together and exponents together to divide numbers in scientific notation.
(85400411977810600000000000004.73933649)(11017)
Step 8.2
Divide 8540041197781060000000000000 by 4.73933649.
1801948692731803660000000003.411017
Step 8.3
Move 1017 to the numerator using the negative exponent rule 1bn=b-n.
1801948692731803660000000003.410-17
1801948692731803660000000003.410-17
Step 9
Move the decimal point in 1801948692731803660000000003.4 to the left by 27 places and increase the power of 10-17 by 27.
1.801948691010
Step 10
The result can be shown in multiple forms.
Scientific Notation:
1.801948691010
Expanded Form:
18019486927.318
 [x2  12  π  xdx ]