Rewrite the expression in the form a^(n). (a^(5))/(a^((5)/(2)))=◻

Apply Exponent Properties: To simplify the expression (a^(5))/(a^((5)/(2))), we use the properties of exponents which state that when dividing like bases, we subtract the exponents. So, (a^(5))/(a^((5)/(2))) = a^(5 - (5/2)).Perform Subtraction in Exponent: Now we need to perform the subtraction in the exponent: 5 - (5/2). To subtract these, we need a common denominator. The common denominator for 1 and 2 is 2, so we convert 5 to 10/2. 5 - (5/2) = (10/2) - (5/2).Find Common Denominator: Perform the subtraction of the fractions: (10/2) - (5/2) = (10 - 5)/2 = 5/2. So, a^(5 - (5/2)) = a^(5/2).

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Rewrite the expression in the form
a^(n).

(a^(5))/(a^((5)/(2)))=◻

Rewrite the expression in the form $a^{n}$ . $\newline$ $\frac{a^{5}}{a^{\frac{5}{2}}}=\square^{-+x}$

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Math Problems

Algebra 2

Evaluate exponential functions

Full solution

Q. Rewrite the expression in the form

a^{n}

\newline

\frac{a^{5}}{a^{\frac{5}{2}}}=\square^{-+x}

Apply Exponent Properties: To simplify the expression $(a^{5})/(a^{(5/2)})$ , we use the properties of exponents which state that when dividing like bases, we subtract the exponents. $\newline$ So, $(a^{5})/(a^{(5/2)}) = a^{5 - (5/2)}$ .
Perform Subtraction in Exponent: Now we need to perform the subtraction in the exponent: $5 - \left(\frac{5}{2}\right)$ . To subtract these, we need a common denominator. The common denominator for $1$ and $2$ is $2$ , so we convert $5$ to $\frac{10}{2}$ . $5 - \left(\frac{5}{2}\right) = \left(\frac{10}{2}\right) - \left(\frac{5}{2}\right)$ .
Find Common Denominator: Perform the subtraction of the fractions: $(\frac{10}{2}) - (\frac{5}{2}) = \frac{10 - 5}{2} = \frac{5}{2}$ . $\newline$ So, $a^{5 - (\frac{5}{2})} = a^{\frac{5}{2}}$ .