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Basic Math Examples
−35⋅10+80(20)10√65
Step 1
Step 1.1
Factor 10 out of −35⋅10.
10⋅−35+80(20)10√65
Step 1.2
Factor 10 out of 80(20).
10⋅−35+10(8⋅20)10√65
Step 1.3
Factor 10 out of 10⋅−35+10(8⋅20).
10⋅(−35+8⋅20)10√65
Step 1.4
Cancel the common factors.
Step 1.4.1
Factor 10 out of 10√65.
10⋅(−35+8⋅20)10(√65)
Step 1.4.2
Cancel the common factor.
10⋅(−35+8⋅20)10√65
Step 1.4.3
Rewrite the expression.
−35+8⋅20√65
−35+8⋅20√65
−35+8⋅20√65
Step 2
Step 2.1
Multiply 8 by 20.
−35+160√65
Step 2.2
Add −35 and 160.
125√65
125√65
Step 3
Multiply 125√65 by √65√65.
125√65⋅√65√65
Step 4
Step 4.1
Multiply 125√65 by √65√65.
125√65√65√65
Step 4.2
Raise √65 to the power of 1.
125√65√651√65
Step 4.3
Raise √65 to the power of 1.
125√65√651√651
Step 4.4
Use the power rule aman=am+n to combine exponents.
125√65√651+1
Step 4.5
Add 1 and 1.
125√65√652
Step 4.6
Rewrite √652 as 65.
Step 4.6.1
Use n√ax=axn to rewrite √65 as 6512.
125√65(6512)2
Step 4.6.2
Apply the power rule and multiply exponents, (am)n=amn.
125√656512⋅2
Step 4.6.3
Combine 12 and 2.
125√656522
Step 4.6.4
Cancel the common factor of 2.
Step 4.6.4.1
Cancel the common factor.
125√656522
Step 4.6.4.2
Rewrite the expression.
125√65651
125√65651
Step 4.6.5
Evaluate the exponent.
125√6565
125√6565
125√6565
Step 5
Step 5.1
Factor 5 out of 125√65.
5(25√65)65
Step 5.2
Cancel the common factors.
Step 5.2.1
Factor 5 out of 65.
5(25√65)5(13)
Step 5.2.2
Cancel the common factor.
5(25√65)5⋅13
Step 5.2.3
Rewrite the expression.
25√6513
25√6513
25√6513
Step 6
The result can be shown in multiple forms.
Exact Form:
25√6513
Decimal Form:
15.50434182…