Pre-Algebra Examples

Divide ( square root of 75x^4)/( square root of square root of 3)
Step 1
Simplify the numerator.
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Step 1.1
Rewrite as .
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Step 1.1.1
Factor out of .
Step 1.1.2
Rewrite as .
Step 1.1.3
Rewrite as .
Step 1.1.4
Move .
Step 1.1.5
Rewrite as .
Step 1.2
Pull terms out from under the radical.
Step 2
Rewrite as .
Step 3
Multiply by .
Step 4
Combine and simplify the denominator.
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Step 4.1
Multiply by .
Step 4.2
Raise to the power of .
Step 4.3
Use the power rule to combine exponents.
Step 4.4
Add and .
Step 4.5
Rewrite as .
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Step 4.5.1
Use to rewrite as .
Step 4.5.2
Apply the power rule and multiply exponents, .
Step 4.5.3
Combine and .
Step 4.5.4
Cancel the common factor of .
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Step 4.5.4.1
Cancel the common factor.
Step 4.5.4.2
Rewrite the expression.
Step 4.5.5
Evaluate the exponent.
Step 5
Simplify the numerator.
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Step 5.1
Rewrite as .
Step 5.2
Raise to the power of .
Step 5.3
Combine exponents.
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Step 5.3.1
Rewrite the expression using the least common index of .
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Step 5.3.1.1
Use to rewrite as .
Step 5.3.1.2
Rewrite as .
Step 5.3.1.3
Rewrite as .
Step 5.3.2
Combine using the product rule for radicals.
Step 5.3.3
Rewrite as .
Step 5.3.4
Use the power rule to combine exponents.
Step 5.3.5
Add and .
Step 5.4
Raise to the power of .
Step 5.5
Rewrite as .
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Step 5.5.1
Factor out of .
Step 5.5.2
Rewrite as .
Step 5.6
Pull terms out from under the radical.
Step 6
Multiply by .
Step 7
Cancel the common factor of and .
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Step 7.1
Factor out of .
Step 7.2
Cancel the common factors.
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Step 7.2.1
Factor out of .
Step 7.2.2
Cancel the common factor.
Step 7.2.3
Rewrite the expression.
Step 7.2.4
Divide by .