Basic Math Examples

Evaluate (2^3)/3-(2(2)^2)/2
Step 1
Simplify each term.
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Step 1.1
Raise to the power of .
Step 1.2
Multiply by by adding the exponents.
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Step 1.2.1
Multiply by .
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Step 1.2.1.1
Raise to the power of .
Step 1.2.1.2
Use the power rule to combine exponents.
Step 1.2.2
Add and .
Step 1.3
Cancel the common factor of and .
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Step 1.3.1
Factor out of .
Step 1.3.2
Cancel the common factors.
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Step 1.3.2.1
Factor out of .
Step 1.3.2.2
Cancel the common factor.
Step 1.3.2.3
Rewrite the expression.
Step 1.3.2.4
Divide by .
Step 1.4
Raise to the power of .
Step 1.5
Multiply by .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Combine and .
Step 4
Combine the numerators over the common denominator.
Step 5
Simplify the numerator.
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Step 5.1
Multiply by .
Step 5.2
Subtract from .
Step 6
Move the negative in front of the fraction.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: