I would like to know what the answer to this is (-2x^2y^7)^2 My teacher doesn't explain this in a way to where I can answer it.

4x⁴y¹⁴

Step-by-step explanation:

When you have an expression in parentheses that is being raised to a power of any value where n ≠ 0, you distribute the exponent to every number enclosed.

(-2x²y⁷)²

Distributing to a number that is not already being raised by an exponent will be raised to the given power:

-2² = 4

4(x²y⁷)²

When distributing an exponent to a number that is already being raised to a given power, multiply the two exponents:

(x²)² = x²ˣ² = x⁴

(y⁷)² = y⁷ˣ² = y¹⁴

4x⁴y¹⁴

The simplified expression of (-2x²y⁷)² is 4x⁴y¹⁴.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1