Question

simplify [15^1/4/÷9^1/4]​

Answer 1

15^1/4÷9^1/4

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Answer 2

Concept-

Simplification is converting or finding missing values ​​from long and complex expressions using basic BODMAS rules where:

B → Means parenthesis and controlling parentheses in order ( ), { } and [ ]

O → Means “from” (use like ✕)

D → Stands for Division ()

M → Means multiplication (✕)

A → Means addition (+)

S → stands for subtraction (-)

Step 1: Solve expressions that are enclosed in square brackets like ( ), { } and [ ] inside the square brackets using BODMAS rules.

Step 2: Next, mathematical operators like "z" and "order" need to be solved. Where "Z" stands for part and is resolved by replacing with the multiplication sign. "Order" is the same as exponent. Powers are resolved behind parentheses. Powers also include square roots.

Step 3: Next, the part of the equation involving multiplication and division must be solved further from left to right.

Step 4: Last but not least, the parts of the equation that contain "Addition" and "Subtraction" need to be calculated, which will give us the solution to the complex expression or the desired value in the expression.

Given-

The expression is given as: [15^1/4/÷9^1/4]​

Find-

Simplify [15^1/4/÷9^1/4]​

Solution-

⇒ 15^1/4 ÷ 9^1/4

⇒ ( 3 × 5 )^1/4 ÷ ( 3 × 3)^1/4

⇒ ( 3^1/4 × 5^1/4 ) ÷ ( 3^1/4 × 3^1/4 )

⇒ 5^1/4 ÷ 3^1/4

⇒ (5/3)^1/4

Therefore, the value of 15^1/4 ÷ 9^1/4 is (5/3)^1/4.

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