(3x³)²÷9׳
geez - use the same symbol for x each time, ok?
(3x^3)^2÷9x^3 = 9x^6/9x^3 = x^3
or,
(3x³)²÷9׳ = (3x³)(3x³)÷(9x³) = 9x³x³/9x³ = x³
To simplify the expression (3x³)² ÷ 9x³, we need to follow the order of operations and apply the rules of exponentiation and division. Here's the step-by-step process:
Step 1: Simplify the expression inside the parentheses.
(3x³)² = 3² * (x³)²
= 9 * x^(3*2)
= 9 * x^6
Step 2: Rewrite the expression using the simplified form.
9 * x^6 ÷ 9x³
Step 3: Simplify the expression by dividing the coefficients and subtracting the exponents.
9 ÷ 9 = 1
x^6 ÷ x³ = x^(6-3) = x³
Step 4: Combine the simplified forms.
1 * x³ = x³
Therefore, the final answer is x³.