Question

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Answer 1

Question 1 (Multiple Choice Worth 2 points)

(MC)

Rewrite the radical as a rational exponent.

the fourth root of 7 to the fifth power

7 to the 5 over 4 power

720

7

7 to the 4 over 5 power


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Question 2 (Multiple Choice Worth 2 points)

(MC)

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

2 to the 7 over 8 power, all over 2 to the 1 over 4 power

the eighth root of 2 to the fifth power

the fifth root of 2 to the eighth power

the square root of 2 to the 5 over 8 power

the fourth root of 2 to the sixth power


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Question 3 (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


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Question 4 (Multiple Choice Worth 2 points)

(MC)

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

5 to the fourth power, over 25 = 52

By simplifying 25 to 52 to make both powers base five and subtracting the exponents

By simplifying 25 to 52 to make both powers base five and adding the exponents

By finding the quotient of the bases to be one fifth and cancelling common factors

By finding the quotient of the bases to be one fifth and simplifying the expression


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Question 5 (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

Answer 2

@texaschic101 can you help with a few?

Answer 3

@Luigi0210

Answer 4

@iambatman can you help with a few plzzz

Answer 5

Sure, which problem exactly?

Answer 6

as many as possible plz lol but can we start with the first one? And thank you

Answer 7

I just started the lesson and I don't know how to do this lol

Answer 8

Number 1 is just saying

\[\sqrt[4]{7}^{5}\]

Answer 9

\[\huge x ^{\frac{ m }{ n }} = \sqrt[n]{x ^{m}} = (\sqrt[n]{x})^{m}\]

Answer 10

whoa lol

Answer 11

^ that's what our exponent rules tell us :P, can you see deduce what the exponent will be?

Answer 12

yes its 16807

Answer 13

I mean using exponent rules what will we get?