Plz !

1. explain how the quotient of powers property was used to simplify this expression.

three to the fourth power all over nine equals three squared

a. by simplifying 9 to 3 squared to make both powers base three and adding the exponents

b. by simplifying 9 to 3 squared to make both powers base three and subtracting the exponents

c. by finding the quotient of the bases to be one third and simplifying the expression

d. by finding the quotient of the bases to be one third and cancelling common factors

2. prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

steps reasons

1. a over b plus c over d 1.given

2. 2. multiply to get a common denominator

3. ad plus cb over bd 3.simplify

fill in the missing step in the proof.

ac over bd

ad over b plus cb over d

a plus c over b plus d

ad over bd plus cb over bd

3. simplify square root of five times the quantity six minus four square root of three.

a.9

b. thirty square root of three

c. six square root of five minus four square root of fifteen

d. square root of thirty minus twenty square root of three

4. solve four square root of two plus five square root of four and explain whether the answer is rational or irrational.

the answer four square root of two plus ten is irrational because the sum of a rational number and irrational number is an irrational number.

the answer nine square root of six is irrational because the sum of a rational number and irrational number is an irrational number.

the answer four square root of two plus ten is rational because the sum of a rational number and irrational number is a rational number.

the answer nine square root of six is rational because the sum of a rational number and irrational number is a rational number.

5.which equation justifies why seven to the one third power equals the cube root of seven?

seven to the one third power all raised to the third power equals seven to the one third plus three power equals seven

seven to the one third power all raised to the third power equals seven to the three minus one third power equals seven

seven to the one third power all raised to the third power equals seven to the one third times three power equals seven

seven to the one third power all raised to the third power equals seven to the one third minus three power equals seven.

6. rewrite the radical expression as an expression with a rational exponent.

the fourth root of seven to the fifth power

seven to the five fourths power

x20

x

seven to the four fifths power

7. rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

three to the one third power all over three to the one sixth power

the square root of three to the one sixth power

the ninth root of three squared

the square root of three to the sixth power

the sixth root of three