Question

I have a couple questions that i need help with plz help.

Answer 1

what are your questions?

Answer 2

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

5 to the fourth power, over 25 = 52

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

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

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

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

Answer 3

Rewrite the radical as a rational exponent.

the cube root of 2 to the seventh power

A. 2 to the 3 over 7 power

B. 2 to the 7 over 3 power

C. 221

D. 24

Answer 4

A rectangle has a length of the fifth root of 16 inches and a width of 2 to the 1 over 5 power inches. Find the area of the rectangle.

A. 2 to the 3 over 5 power inches squared

B. 2 to the 4 over 5 power inches squared

C. 2 inches squared

D. 2 to the 2 over 5 power inches squared

Answer 5

im sorry but i dont know how to solve these problems. i hope you find someone who can help you.

Answer 6

Its ok

Answer 7

the quotient law for powers is subtract the powers

\[\frac{x^a}{x^b} = x^{a - b}\]

and you should simplify numbers to index notation.

so your 1st question is

\[\frac{5^4}{25} = \frac{5^4}{5^2}\]

hopefully this helps to answer the question.

Answer 8

the next question is radicals

\[\sqrt[a]{x^b} = x^{\frac{a}{b}}\]

use this rule...

Answer 9

ok... so you have to rewrite 16 as a power of 2

so its

\[\sqrt[5]{16} = \sqrt[5]{2^4}\]

use the previous rule..

then you can multiply the same base and add the powers..,

Answer 10

I have a couple more can you help

Answer 11

Rewrite the rational exponent as a radical expression.

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

A. the sixth root of 3

B. the ninth root of 3

C. the eighteenth root of 3

D. the sixth root of 3 to the third power

Answer 12

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

A.the eighth root of 2 to the fifth power

B. the fifth root of 2 to the eighth power

C. the square root of 2 to the 5 over 8 power

D. the fourth root of 2 to the sixth power

Answer 13

nope... sorry....

but here is a link to a nice summary

http://mathematicsi.com/rules-of-indices/

good luck

Answer 14

thank you