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simplify the expression

Simplify The Expression class=

Sagot :

Answer:

2500

Step-by-step explanation:

5×5 ( 5×5×5 - 5×2 )

25 ( 125 - 25 )

25 ( 100)

25 × 100

= 2500

Solution:

Here we use a law of exponent i.e.

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \\ [/tex]

So,

5² × 5³ × 5²

[tex] = {5}^{2 + 3 + 2} \\ \\ = {5}^{7} \\ \\ = 78125 \\ \\ [/tex]

Therefore the answer is 78125 or simply 5⁷

Hope it helps you :)