Finite Math Examples

Reduce (m^(-3/4)n^(-1/4))/((m^2n)^(1/2))
Step 1
Simplify the expression.
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Step 1.1
Move to the denominator using the negative exponent rule .
Step 1.2
Move to the denominator using the negative exponent rule .
Step 2
Simplify the denominator.
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Step 2.1
Apply the product rule to .
Step 2.2
Multiply the exponents in .
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Step 2.2.1
Apply the power rule and multiply exponents, .
Step 2.2.2
Cancel the common factor of .
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Step 2.2.2.1
Cancel the common factor.
Step 2.2.2.2
Rewrite the expression.
Step 2.3
Simplify.
Step 2.4
Combine exponents.
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Step 2.4.1
Multiply by by adding the exponents.
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Step 2.4.1.1
Move .
Step 2.4.1.2
Multiply by .
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Step 2.4.1.2.1
Raise to the power of .
Step 2.4.1.2.2
Use the power rule to combine exponents.
Step 2.4.1.3
Write as a fraction with a common denominator.
Step 2.4.1.4
Combine the numerators over the common denominator.
Step 2.4.1.5
Add and .
Step 2.4.2
Multiply by by adding the exponents.
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Step 2.4.2.1
Move .
Step 2.4.2.2
Use the power rule to combine exponents.
Step 2.4.2.3
To write as a fraction with a common denominator, multiply by .
Step 2.4.2.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.4.2.4.1
Multiply by .
Step 2.4.2.4.2
Multiply by .
Step 2.4.2.5
Combine the numerators over the common denominator.
Step 2.4.2.6
Add and .