Question

49^9*5^14:245^9 решите пожалуйста

Answer 1

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Готово!!!Удачи:)))

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Answer 2

$\frac{49^9*5^{14}}{245^9} = \frac{49^9*5^{14}}{(49*5)^9} =\frac{49^9*5^{14}}{49^9*5^9} =1*5^5=3125$

Answer 3

To solve the expression, let's simplify it step by step:

1. Simplify the exponents: 49^9 * 5^14 = (7^2)^9 * (5^2)^7 = 7^(29) * 5^(27) = 7^18 * 5^14

2. Simplify the denominator: 245^9 = (5 * 7^2)^9 = 5^9 * (7^2)^9 = 5^9 * 7^18

Now the expression becomes:

(7^18 * 5^14) : (5^9 * 7^18)

3. Cancel out common terms: We can cancel out 7^18 from the numerator and denominator, as they appear in both.

Resulting expression:

(7^18 * 5^14) : (5^9 * 7^18) = 5^14 : 5^9

4. Apply the quotient rule for exponents: When dividing like bases, you can subtract the exponents.

5^14 : 5^9 = 5^(14 - 9) = 5^5 = 3125

So, the solution to the expression is 3125.