# Evaluate ( cube root of 2)÷( fourth root of 2)

Rewrite the division as a fraction.
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Simplify the numerator.
Rewrite as .
Raise to the power of .
Simplify the numerator.
Rewrite the expression using the least common index of .
Use to rewrite as .
Rewrite as .
Rewrite as .
Use to rewrite as .
Rewrite as .
Rewrite as .
Combine using the product rule for radicals.
Rewrite as .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Use the power rule to combine exponents.
Simplify the numerator.
Raise to the power of .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Cancel the common factor of .
Cancel the common factor.
Divide by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Evaluate ( cube root of 2)÷( fourth root of 2)

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