Math, asked by TbiaSupreme, 1 year ago

Find 25 x 125, without actual multiplication, using exponents.

Answers

Answered by piyush1333
1
5^2×5^3=5^5 is your answer bro
Answered by hukam0685
3

Answer:

25 \times 125 =  {5}^{5}  = 3125 \\  \\

Step-by-step explanation:

To find the value of 25 × 125 without actual multiplication;try to convert the given expression into the exponents of 1 value .

As we know that

 25 =  {5}^{2}  \\  \\ 125 =  {5}^{3} \\  \\ 25 \times 125 =  {5}^{2}  \times  {5}^{3}  \\  \\  =  {5}^{(2 + 3)}  \\  \\   \because \:  {a}^{m}  \times  {a}^{n}  =  {a}^{(m + n)}  \\  \\   {5}^{(2 + 3)} =  {5}^{5}  \\  \\  = 3125 \\  \\

So,

25 \times 125 = 3125 \\  \\

Hope it helps you.

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