Question

25×8×4×125 is which suitable property

Answer 1

Answer:

The answer of the " 25 × 8 × 4 × 125 " using suitable arrangement is 1,00,000 .

Step-by-step explanation:

Hey Mate,

Equation :  25 × 8 × 4 × 125

=> ( 25 × 8 ) × ( 125 × 4 )

=> 200 × 500

=>  1,00,000

So,

The answer of the " 25 × 8 × 4 × 125 " using suitable arrangement is 1,00,000 .

Answer 2

"Here first we can define each number as a power of another number.

For example:

25 as ${5}^{2}$

8 as ${2}^{3}$

4 as ${2}^{2}$

125 as ${5}^{3}$

So

$25 \times 8 \times 4 \times 125 = {5}^{2} \times {2}^{3} \times {2}^{2} \times {5}^{3}$

Here using the properties of exponents

1) Multiplying  exponents with same base => Property of Addition of Exponents(Product of power property)

${5}^{2} \times {5}^{3}= {5}^{2+3}= {5}^{5}$

${2}^{3} \times {2}^{2}= {2}^{3+2}={2}^{5}$

So we get

$25 \times 8 \times 4 \times 125 = {5}^{2} \times {2}^{3} \times {2}^{2} \times {5}^{3}$

$= {5}^{5} \times {2}^{5}$

2) Multiplying exponents with different bases (Power of product property)

We will be multiplying the bases powered to the same exponent

Here,

${5}^{5} \times {2}^{5} = {5 \times 2}^{5} = {10}^{5}=100000$

We have used two properties of exponents (Product of power property and Power of product property) to get the answer"