Question

The value of (⅗³×⅗⁴÷⅗²)​

Answer 1

Answer:

the answer for the given problem is 3/5^5=3/3125

Answer 2

The answer is (3/5)⁵

GIVEN

Mathematical expression;

(3/5)³× (3/5) ⁴÷ (3/5)²

TO FIND

The value of given expression.

GIVEN

We can simply solve the above problem as follows;

We are given a mathematical expression;

(3/5)³× (3/5) ⁴÷ (3/5)²

According to BODMAS rule, we will first multiply and then divide.

Multiplying (3/5)³ by (3/5)⁴

We know that,

aⁿ × aᵐ = aⁿ⁺ᵐ

Therefore,

$( \frac{3}{5} )^{3} \times ( \frac{3}{5} )^{4} = ( \frac{3}{5} )^{7}$

Now, The equation is as follows;

(3/5)⁷ ÷ (3/5)²

We can also write the above equation as follows;

(3/5)⁷ ÷ (3/5)² = (3/5)⁷ × (3/5)⁻²

Solving the above equation we get,

= (3/5)⁵

Hence, The answer is (3/5)⁵

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