Radicals and Rational Exponents

Front

What is the radical form of the expression 8^{1/3}?

Back

\sqrt[3]{8}

Front

How do you write the expression (\sqrt[3]{x})^5 in exponential form?

Back

x^{5/3}

Front

When converting a radical to exponential form, where does the power go in the fraction?

Back

Numerator

Front

What is the exponential form of \sqrt{x}?

Back

x^{1/2}

Front

How do you express (\sqrt{5})^4 in exponential form?

Back

5^2

Front

What is the general form of a radical expression?

Back

\sqrt[n]{a} = a^{1/n}

Front

What is the relationship between radicals and rational exponents?

Back

Radicals can be expressed as rational exponents, where \sqrt[n]{a} = a^{1/n}.

Front

How do you convert a rational exponent back to radical form?

Back

If you have a^{m/n}, it can be rewritten as \sqrt[n]{a^m}.

Front

What is the value of 2^{1/2}?

Back

\sqrt{2}

Front

What is the value of 27^{1/3}?

Back

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