Basic Math Examples

Simplify (-35*10+80(20))/(10 square root of 65)
3510+80(20)1065
Step 1
Cancel the common factor of 3510+80(20) and 10.
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Step 1.1
Factor 10 out of 3510.
1035+80(20)1065
Step 1.2
Factor 10 out of 80(20).
1035+10(820)1065
Step 1.3
Factor 10 out of 1035+10(820).
10(35+820)1065
Step 1.4
Cancel the common factors.
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Step 1.4.1
Factor 10 out of 1065.
10(35+820)10(65)
Step 1.4.2
Cancel the common factor.
10(35+820)1065
Step 1.4.3
Rewrite the expression.
35+82065
35+82065
35+82065
Step 2
Simplify the numerator.
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Step 2.1
Multiply 8 by 20.
35+16065
Step 2.2
Add 35 and 160.
12565
12565
Step 3
Multiply 12565 by 6565.
125656565
Step 4
Combine and simplify the denominator.
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Step 4.1
Multiply 12565 by 6565.
125656565
Step 4.2
Raise 65 to the power of 1.
1256565165
Step 4.3
Raise 65 to the power of 1.
12565651651
Step 4.4
Use the power rule aman=am+n to combine exponents.
12565651+1
Step 4.5
Add 1 and 1.
12565652
Step 4.6
Rewrite 652 as 65.
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Step 4.6.1
Use nax=axn to rewrite 65 as 6512.
12565(6512)2
Step 4.6.2
Apply the power rule and multiply exponents, (am)n=amn.
1256565122
Step 4.6.3
Combine 12 and 2.
125656522
Step 4.6.4
Cancel the common factor of 2.
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Step 4.6.4.1
Cancel the common factor.
125656522
Step 4.6.4.2
Rewrite the expression.
12565651
12565651
Step 4.6.5
Evaluate the exponent.
1256565
1256565
1256565
Step 5
Cancel the common factor of 125 and 65.
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Step 5.1
Factor 5 out of 12565.
5(2565)65
Step 5.2
Cancel the common factors.
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Step 5.2.1
Factor 5 out of 65.
5(2565)5(13)
Step 5.2.2
Cancel the common factor.
5(2565)513
Step 5.2.3
Rewrite the expression.
256513
256513
256513
Step 6
The result can be shown in multiple forms.
Exact Form:
256513
Decimal Form:
15.50434182
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