Question

HELP!!! 1) (2x^5)^4 2) x^15•x^12/x^24= 3) (x^2)^5•x^4/x^6 •-умножить /-дробь ^-степень...

Answer 1

1)16х^20

2)х^2

3)х^8

Или тебе с решением ?

Answer 2

Of course, I'd be happy to help you with these mathematical expressions! Let's break them down step by step:

1. (2x^5)^4 To simplify this expression, we use the property of exponents: (a^m)^n = a^(mn). In this case, a = 2x^5, and n = 4. So, the result is (2x^5)^4 = 2^(4) * (x^5)^4 = 16x^(54) = 16x^20.

2. x^15 • x^12 / x^24 To simplify this expression, we use the property of exponents: When dividing like bases, subtract the exponents. So, x^a / x^b = x^(a - b). In this case, we have x^15 • x^12 / x^24 = x^(15 + 12 - 24) = x^3.

3. (x^2)^5 • x^4 / x^6 Again, we use the property of exponents: (a^m)^n = a^(mn) and x^a / x^b = x^(a - b). First, simplify (x^2)^5 as x^(25) = x^10. So, the expression becomes x^10 • x^4 / x^6. Now, divide like bases by subtracting the exponents: x^(10 + 4 - 6) = x^8.

To recap:

1. (2x^5)^4 = 16x^20.
2. x^15 • x^12 / x^24 = x^3.
3. (x^2)^5 • x^4 / x^6 = x^8.

If you have any more math questions or need further clarification, feel free to ask!