Basic Math Examples

Evaluate -(2^2)/2-((8-2*2)^(3/2))/3
-222-(8-22)323222(822)323
Step 1
Simplify each term.
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Step 1.1
Cancel the common factor of 2222 and 22.
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Step 1.1.1
Factor 22 out of 2222.
-222-(8-22)323222(822)323
Step 1.1.2
Cancel the common factors.
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Step 1.1.2.1
Factor 22 out of 22.
-222(1)-(8-22)323222(1)(822)323
Step 1.1.2.2
Cancel the common factor.
-2221-(8-22)323
Step 1.1.2.3
Rewrite the expression.
-21-(8-22)323
Step 1.1.2.4
Divide 2 by 1.
-12-(8-22)323
-12-(8-22)323
-12-(8-22)323
Step 1.2
Multiply -1 by 2.
-2-(8-22)323
Step 1.3
Simplify the numerator.
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Step 1.3.1
Multiply -2 by 2.
-2-(8-4)323
Step 1.3.2
Subtract 4 from 8.
-2-4323
Step 1.3.3
Rewrite 4 as 22.
-2-(22)323
Step 1.3.4
Apply the power rule and multiply exponents, (am)n=amn.
-2-22(32)3
Step 1.3.5
Cancel the common factor of 2.
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Step 1.3.5.1
Cancel the common factor.
-2-22(32)3
Step 1.3.5.2
Rewrite the expression.
-2-233
-2-233
Step 1.3.6
Raise 2 to the power of 3.
-2-83
-2-83
-2-83
Step 2
To write -2 as a fraction with a common denominator, multiply by 33.
-233-83
Step 3
Combine -2 and 33.
-233-83
Step 4
Combine the numerators over the common denominator.
-23-83
Step 5
Simplify the numerator.
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Step 5.1
Multiply -2 by 3.
-6-83
Step 5.2
Subtract 8 from -6.
-143
-143
Step 6
Move the negative in front of the fraction.
-143
Step 7
The result can be shown in multiple forms.
Exact Form:
-143
Decimal Form:
-4.6
Mixed Number Form:
-423
Enter a problem...
 [x2  12  π  xdx ]