Algebra Review Question 2 of 35 (1 point) | Question Attempt: 1 of 1 =1quad=3quad=4 Evaluate. (5-2)^(4)÷9

Identify expression and order: Identify the expression to be evaluated and the order of operations to be followed. The expression is (5-2)^(4)÷9. According to the order of operations, we first perform the operation inside the parentheses, then the exponentiation, and finally the division.Calculate inside parentheses: Calculate the value inside the parentheses (5-2). 5 - 2 = 3Raise to power of 4: Raise the result to the power of 4, which is the exponentiation step. 3^4 = 3 * 3 * 3 * 3 = 81Divide by 9: Divide the result by 9, which is the final step. 81 ÷ 9 = 9

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate. $\newline$ $(5-2)^{(4)}\div 9$

View step-by-step help

Full solution

Q. Evaluate.

\newline

(5-2)^{(4)}\div 9

Identify expression and order: Identify the expression to be evaluated and the order of operations to be followed. $\newline$ The expression is $(5-2)^{4}\div 9$ . According to the order of operations, we first perform the operation inside the parentheses, then the exponentiation, and finally the division.
Calculate inside parentheses: Calculate the value inside the parentheses $(5-2)$ . $\newline$ $5 - 2 = 3$
Raise to power of $4$ : Raise the result to the power of $4$ , which is the exponentiation step. $3^4 = 3 \times 3 \times 3 \times 3 = 81$
Divide by $9$ : Divide the result by $9$ , which is the final step. $\newline$ $81 \div 9 = 9$