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Basic Math Examples
-222-(8-2⋅2)323−222−(8−2⋅2)323
Step 1
Step 1.1
Cancel the common factor of 2222 and 22.
Step 1.1.1
Factor 22 out of 2222.
-2⋅22-(8-2⋅2)323−2⋅22−(8−2⋅2)323
Step 1.1.2
Cancel the common factors.
Step 1.1.2.1
Factor 22 out of 22.
-2⋅22(1)-(8-2⋅2)323−2⋅22(1)−(8−2⋅2)323
Step 1.1.2.2
Cancel the common factor.
-2⋅22⋅1-(8-2⋅2)323
Step 1.1.2.3
Rewrite the expression.
-21-(8-2⋅2)323
Step 1.1.2.4
Divide 2 by 1.
-1⋅2-(8-2⋅2)323
-1⋅2-(8-2⋅2)323
-1⋅2-(8-2⋅2)323
Step 1.2
Multiply -1 by 2.
-2-(8-2⋅2)323
Step 1.3
Simplify the numerator.
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.
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.
-2⋅33-83
Step 3
Combine -2 and 33.
-2⋅33-83
Step 4
Combine the numerators over the common denominator.
-2⋅3-83
Step 5
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