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Simplify. $\newline$ $81^{\frac{1}{2}}$ $\newline$ _____________

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Evaluate integers raised to positive rational exponents

Full solution

Q. Simplify.

\newline

81^{\frac{1}{2}}

\newline

_____________

Identify base and exponent: Identify the base and the exponent in the expression $81^{1/2}$ . $\newline$ In this expression, the base is $81$ , and the exponent is $1/2$ , which represents the square root.
Recognize square root definition: Recognize that the square root of a number is the value that, when multiplied by itself, gives the original number. $\newline$ The square root of $81$ is the number that, when squared, equals $81$ .
Find square root of $81$ : Find the number that, when squared, equals $81$ . $\newline$ Since $9 \times 9 = 81$ , the square root of $81$ is $9$ .

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