Question

Вычислить. (5∧2)∧4*5∧-7*5∧2=

Answer 1

(5²)⁴*5-⁷*5² = 5^(2*4)*5^(-7 + 2) = 5^8*5^(-5) = 5^(8-5) = 5³ = 125

Answer 2

To calculate the expression, let's follow the order of operations (PEMDAS):

P - Parentheses E - Exponents MD - Multiplication and Division (left to right) AS - Addition and Subtraction (left to right)

The given expression is:

(5^2)^4 * 5^(-7) * 5^2

First, calculate the exponents:

(5^2)^4 = 25^4 = 390625

Next, apply the negative exponent:

5^(-7) = 1 / 5^7 ≈ 0.00000032 (approximately)

Now, the expression becomes:

390625 * 0.00000032 * 5^2

Now, calculate the remaining exponent:

5^2 = 25

Finally, perform the multiplication:

390625 * 0.00000032 * 25 ≈ 0.03125

So, the value of the expression is approximately 0.03125.