Pre-Algebra Examples

Divide ( square root of 4/9)÷( square root of 3/5)
Step 1
Rewrite the division as a fraction.
Step 2
Simplify the numerator.
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Step 2.1
Rewrite as .
Step 2.2
Simplify the numerator.
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Step 2.2.1
Rewrite as .
Step 2.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.3
Simplify the denominator.
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Step 2.3.1
Rewrite as .
Step 2.3.2
Pull terms out from under the radical, assuming positive real numbers.
Step 3
Simplify the denominator.
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Step 3.1
Rewrite as .
Step 3.2
Multiply by .
Step 3.3
Combine and simplify the denominator.
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Step 3.3.1
Multiply by .
Step 3.3.2
Raise to the power of .
Step 3.3.3
Raise to the power of .
Step 3.3.4
Use the power rule to combine exponents.
Step 3.3.5
Add and .
Step 3.3.6
Rewrite as .
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Step 3.3.6.1
Use to rewrite as .
Step 3.3.6.2
Apply the power rule and multiply exponents, .
Step 3.3.6.3
Combine and .
Step 3.3.6.4
Cancel the common factor of .
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Step 3.3.6.4.1
Cancel the common factor.
Step 3.3.6.4.2
Rewrite the expression.
Step 3.3.6.5
Evaluate the exponent.
Step 3.4
Simplify the numerator.
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Step 3.4.1
Combine using the product rule for radicals.
Step 3.4.2
Multiply by .
Step 4
Multiply the numerator by the reciprocal of the denominator.
Step 5
Multiply by .
Step 6
Combine and simplify the denominator.
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Step 6.1
Multiply by .
Step 6.2
Raise to the power of .
Step 6.3
Raise to the power of .
Step 6.4
Use the power rule to combine exponents.
Step 6.5
Add and .
Step 6.6
Rewrite as .
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Step 6.6.1
Use to rewrite as .
Step 6.6.2
Apply the power rule and multiply exponents, .
Step 6.6.3
Combine and .
Step 6.6.4
Cancel the common factor of .
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Step 6.6.4.1
Cancel the common factor.
Step 6.6.4.2
Rewrite the expression.
Step 6.6.5
Evaluate the exponent.
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 8
Multiply .
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Step 8.1
Multiply by .
Step 8.2
Multiply by .
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: