Simplify ( square root of cube root of 7* square root of 7)/( cube root of 7^2)

Math
Combine using the product rule for radicals.
Raise to the power of .
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Evaluate the exponent.
Simplify the numerator.
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Rewrite as .
Raise to the power of .
Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
Combine exponents.
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Rewrite the expression using the least common index of .
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Use to rewrite as .
Rewrite as .
Rewrite as .
Use to rewrite as .
Rewrite as .
Rewrite as .
Combine using the product rule for radicals.
Apply the product rule to .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Tap for more steps…
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Evaluate the exponent.
Raise to the power of .
Multiply by .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify the expression.
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Multiply by .
Divide by .
Simplify ( square root of cube root of 7* square root of 7)/( cube root of 7^2)

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