Question 1(Multiple Choice Worth 1 points) (03.01 MC) 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 Question 2(Multiple Choice Worth 1 points) (03.01 MC) 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 Given 2. Multiply to get a common denominator 3. ad plus cb all over bd Simplify Fill in the missing step in the proof. ac over bd ad over b plus cb over d a plus c all over b plus d ad over bd plus cb over bd Question 3(Multiple Choice Worth 1 points) (03.01 MC) Explain how the Quotient of Powers Property was used to simplify this expression. three to the fourth power all over nine equals three squared By simplifying 9 to 32 to make both powers base three and adding the exponents By simplifying 9 to 32 to make both powers base three and subtracting the exponents By finding the quotient of the bases to be one third and simplifying the expression By finding the quotient of the bases to be one third and cancelling common factors Question 4(Multiple Choice Worth 1 points) (03.01 MC) Which equation justifies why ten to the one third power equals the cube root of ten? ten to the one third power all raised to the third power equals ten to the one third plus three power equals ten ten to the one third power all raised to the third power equals ten to the one third times three power equals ten ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten Question 5(Multiple Choice Worth 1 points) (03.01 MC) Simplify square root of five times square root of eight. two square root of ten four square root of ten square root of forty square root of thirteen Question 6(Multiple Choice Worth 1 points) (03.01 LC) Rewrite the expression with a rational exponent as a radical expression. four to the two fifths power all raised the one fourth power the tenth root of four the fourth root of four the fifth root of four squared the square root of four to the tenth power Question 7(Multiple Choice Worth 1 points) (03.01 MC) Simplify square root of five times the quantity six minus four square root of three. 9 thirty square root of three six square root of five minus four square root of fifteen square root of thirty minus twenty square root of three Question 8(Multiple Choice Worth 1 points) (03.01 LC) 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 Question 9(Multiple Choice Worth 1 points) (03.01 MC) Simplify nine square root of two minus three square root of seven plus square root of eight minus square root of twenty eight. eleven square root of two minus five square root of seven eleven square root of four minus five square root of fourteen six square root of five six square root of nine Question 10(Multiple Choice Worth 1 points) (03.01 MC) 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. thanks. i will give brainliest and 15 points.