Basic Math Examples

Simplify (y^(1/3)y^(3/6))/y
Step 1
Multiply by by adding the exponents.
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Step 1.1
Use the power rule to combine exponents.
Step 1.2
Cancel the common factor of and .
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factors.
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Step 1.2.2.1
Factor out of .
Step 1.2.2.2
Cancel the common factor.
Step 1.2.2.3
Rewrite the expression.
Step 1.3
To write as a fraction with a common denominator, multiply by .
Step 1.4
To write as a fraction with a common denominator, multiply by .
Step 1.5
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.5.1
Multiply by .
Step 1.5.2
Multiply by .
Step 1.5.3
Multiply by .
Step 1.5.4
Multiply by .
Step 1.6
Combine the numerators over the common denominator.
Step 1.7
Add and .
Step 2
Move to the denominator using the negative exponent rule .
Step 3
Multiply by by adding the exponents.
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Step 3.1
Multiply by .
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Step 3.1.1
Raise to the power of .
Step 3.1.2
Use the power rule to combine exponents.
Step 3.2
Write as a fraction with a common denominator.
Step 3.3
Combine the numerators over the common denominator.
Step 3.4
Subtract from .