Question

help i will fan and medal.

Answer 1

Question 1 (Multiple Choice Worth 2 points)

(MC)

Rewrite the radical as a rational exponent.

the cube root of 2 to the seventh power

2 to the 3 over 7 power
2 to the 7 over 3 power
221
24

Question 2 (Multiple Choice Worth 2 points)

(MC)

A rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. Find the area of the rectangle.

3 to the 2 over 3 power inches squared
3 to the 8 over 3 power inches squared
9 inches squared
9 to the 2 over 3 power inches squared

Question 3 (Multiple Choice Worth 2 points)

(MC)

Rewrite the rational exponent as a radical by extending the properties of integer exponents.

2 to the 3 over 4 power, all over 2 to the 1 over 2 power

the eighth root of 2 to the third power
the square root of 2 to the 3 over 4 power
the fourth root of 2
the square root of 2

Question 4 (Multiple Choice Worth 2 points)

(MC)

Rewrite the rational exponent as a radical expression.

3 to the 2 over 3 power, to the 1 over 6 power

the sixth root of 3
the ninth root of 3
the eighteenth root of 3
the sixth root of 3 to the third power

Question 5 (Multiple Choice Worth 2 points)

(MC)

Explain how the Quotient of Powers was used to simplify this expression.

2 to the fifth power, over 8 = 22

By finding the quotient of the bases to be one fourth, and cancelling common factors
By finding the quotient of the bases to be one fourth, and simplifying the expression
By simplifying 8 to 23 to make both powers base two, and subtracting the exponents
By simplifying 8 to 23 to make both powers base two, and adding the exponents

Answer 2

@.Sam.

Answer 3

For the first one, the cube root of 2 to the seventh power,
\[\sqrt[3]{2^7}\]
\[\sqrt[3]{2^7}= 2^{7(\frac{1}{3})}=?\]

Answer 4

For the second :
\[\sqrt[3]{81} = \sqrt[3]{3^4} = (3^4)^{1/3} =3^{\frac{ 4 }{ 3 }}\]

Answer 5

3^4/3 + 3^2/3 = 3^6/3 = 3^2 = 9

Answer 6

oh ok that makes sense

Answer 7

@AaronAndyson - try and get the questioner more involved in answering the question - like asking him/her what the next step might be. This way he should learn more.