4. Find the value of k, if x = 2, y=1 is a solution of the equation 2x + 3y=k.​

Step-by-step explanation:To express 25/169 as a fraction squared, you simply square both the numerator and the denominator

(25/169)^2 = (25^2) / (169^2) = 625 / 28,561

So, 25/169 squared as a fraction is 625/28,561.

Answer:

10x^2y^6√y

Step-by-step explanation:

1. First, let's factor out any perfect squares from the expression under the square root. In this case, we can factor out 100, which is a perfect square:

√(100 * x^4 * y^13)

2. Taking the square root of 100 gives us 10:

10 * √(x^4 * y^13)

3. Now, let's simplify the expression under the square root. Remember that the square root of a product is equal to the product of the square roots:

10 * √(x^4) * √(y^13)

4. The square root of x^4 is x^2:

10 * x^2 * √(y^13)

5. Finally, let's simplify the square root of y^13. Since 13 is an odd number, we can write it as the product of a perfect square and an additional factor:

10 * x^2 * √(y^12 * y)

6. The square root of y^12 is y^6:

10 * x^2 * y^6 * √y

Therefore, the simplified expression for the square root of -100x^4y^13 is:

10x^2y^6√y

Answer:

Step-by-step explanation:

We need three rules. Raising a power to a power. Raising a product to a power. Raising a number to a negative exponent.

Rule 1:

To raise a power to a power, multiply powers.

Rule 2:

To raise a product to a power, raise every factor of the product to the power.

Rule 3:

To raise a number to a negative power, follow this formula.

Your problem.

You have a product raised to a power, so raise each factor to the power.

Now raise each power to a power by multiplying exponents.

Now we follow the rule of a negative exponent.

Answer: