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Steps for Quotient of Exponentials
Use the rules of exponents to simplify the expression.
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
Subtract from by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.
Reduce the fraction to lowest terms by extracting and canceling out .
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Similar Problems from Web Search

\frac{4^{1}\sqrt{x}}{8^{1}\sqrt[3]{x}}
Use the rules of exponents to simplify the expression.
\frac{4^{1}x^{\left(\frac{1}{2}-\frac{1}{3}\right)}}{8^{1}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{4^{1}\sqrt[6]{x}}{8^{1}}
Subtract \frac{1}{3}\approx 0.333333333 from \frac{1}{2}=0.5 by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.
\frac{1}{2}\sqrt[6]{x}
Reduce the fraction \frac{4}{8}=0.5 to lowest terms by extracting and canceling out 4.
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