To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-6y⁶ + 2y⁶
(-6 + 2)y⁶
-4y⁶

To add these radicals together their radicands must be the same:

2\( \sqrt{20} \) + 9\( \sqrt{5} \)
2\( \sqrt{4 \times 5} \) + 9\( \sqrt{5} \)
2\( \sqrt{2^2 \times 5} \) + 9\( \sqrt{5} \)
(2)(2)\( \sqrt{5} \) + 9\( \sqrt{5} \)
4\( \sqrt{5} \) + 9\( \sqrt{5} \)

Now that the radicands are identical, you can add them together:

The amount of flour you need is (3\(\frac{1}{4}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{26}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups

47% of the water consumption is industrial use and 16% is personal use so (47% - 16%) = 31% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{31}{100} \) x 45,000 gallons = 13,950 gallons.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

6c³ - 7c³
(6 - 7)c³
-c³