Basic Math Examples

Simplify 18e^(-25/60)-12e^((-25-20)/60)
Step 1
Simplify each term.
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Step 1.1
Cancel the common factor of and .
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Step 1.1.1
Factor out of .
Step 1.1.2
Cancel the common factors.
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Step 1.1.2.1
Factor out of .
Step 1.1.2.2
Cancel the common factor.
Step 1.1.2.3
Rewrite the expression.
Step 1.2
Rewrite the expression using the negative exponent rule .
Step 1.3
Combine and .
Step 1.4
Cancel the common factor of and .
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Step 1.4.1
Factor out of .
Step 1.4.2
Factor out of .
Step 1.4.3
Factor out of .
Step 1.4.4
Cancel the common factors.
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Step 1.4.4.1
Factor out of .
Step 1.4.4.2
Cancel the common factor.
Step 1.4.4.3
Rewrite the expression.
Step 1.5
Subtract from .
Step 1.6
Cancel the common factor of and .
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Step 1.6.1
Factor out of .
Step 1.6.2
Cancel the common factors.
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Step 1.6.2.1
Factor out of .
Step 1.6.2.2
Cancel the common factor.
Step 1.6.2.3
Rewrite the expression.
Step 1.7
Move the negative in front of the fraction.
Step 1.8
Rewrite the expression using the negative exponent rule .
Step 1.9
Combine and .
Step 1.10
Move the negative in front of the fraction.
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.1
Multiply by .
Step 3.2
Multiply by by adding the exponents.
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Step 3.2.1
Use the power rule to combine exponents.
Step 3.2.2
Combine the numerators over the common denominator.
Step 3.2.3
Add and .
Step 3.2.4
Cancel the common factor of and .
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Step 3.2.4.1
Factor out of .
Step 3.2.4.2
Cancel the common factors.
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Step 3.2.4.2.1
Factor out of .
Step 3.2.4.2.2
Cancel the common factor.
Step 3.2.4.2.3
Rewrite the expression.
Step 4
Combine the numerators over the common denominator.
Step 5
Cancel the common factor of and .
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Step 5.1
Factor out of .
Step 5.2
Cancel the common factors.
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Step 5.2.1
Factor out of .
Step 5.2.2
Cancel the common factor.
Step 5.2.3
Rewrite the expression.
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: