Basic Math Examples

Simplify (z^(3/4))/(z^(5/4)*z^-2)
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
To write as a fraction with a common denominator, multiply by .
Step 1.3
Combine and .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Simplify the numerator.
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Step 1.5.1
Multiply by .
Step 1.5.2
Subtract from .
Step 1.6
Move the negative in front of the fraction.
Step 2
Move to the numerator using the negative exponent rule .
Step 3
Multiply by by adding the exponents.
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Step 3.1
Use the power rule to combine exponents.
Step 3.2
Combine the numerators over the common denominator.
Step 3.3
Add and .
Step 3.4
Cancel the common factor of and .
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Step 3.4.1
Factor out of .
Step 3.4.2
Cancel the common factors.
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Step 3.4.2.1
Factor out of .
Step 3.4.2.2
Cancel the common factor.
Step 3.4.2.3
Rewrite the expression.