root(4)(((45)/(5))^(4))

Simplify expression inside fourth root: Simplify the expression inside the fourth root. (45/5) can be simplified by dividing 45 by 5. 45 ÷ 5 = 9 So, (45/5)^(4) simplifies to 9^(4).Apply fourth root to 9^4: Apply the fourth root to 9 raised to the fourth power. The fourth root of 9^(4) is the same as 9 raised to the power of (4/4), because the fourth root is the same as raising to the power of 1/4. 9^(4/4) simplifies to 9^(1), which is just 9.

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$\sqrt[4]{\left(\frac{45}{5}\right)^{4}}$

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Algebra 2

Roots of rational numbers

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\sqrt[4]{\left(\frac{45}{5}\right)^{4}}

Simplify expression inside fourth root: Simplify the expression inside the fourth root. $\newline$ $(\frac{45}{5})$ can be simplified by dividing $45$ by $5$ . $\newline$ $45 \div 5 = 9$ $\newline$ So, $(\frac{45}{5})^{4}$ simplifies to $9^{4}$ .
Apply fourth root to $9^4$ : Apply the fourth root to $9$ raised to the fourth power. $\newline$ The fourth root of $9^{4}$ is the same as $9$ raised to the power of $(4/4)$ , because the fourth root is the same as raising to the power of $1/4$ . $\newline$ $9^{(4/4)}$ simplifies to $9^{1}$ , which is just $9$ .