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

2^3/4 / 2^1/2

2^3/4 / 2^1/2

The choices are

8 radical2^3

Radical 2^3/4

4 radical 2

radical2

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

2^3/4 / 2^1/2

2^3/4 / 2^1/2

The choices are

8 radical2^3

Radical 2^3/4

4 radical 2

radical2

Tutors, please sign in to answer this question.

Los Angeles, CA

Use laws of exponents. a^{m}/ a^{n} = a^{m-n} . If you have like bases and you are dividing the expression then to simplify you subtract their exponents. If you were multiplying like bases then you add the exponents.

So 2 is your like base and since were dividing we subtract their exponents. 2^{3/4-1/2} = 2^{1/4}. ( I'm assuming you know how to subtract fractions with different denominators). Now you just have to rewrite it as a radical. Your Index is the denominator in the rational exponent and the power of the base 2 is the numerator which happens to be 1. so your answer should be The fourth root of 2.

So 2 is your like base and since were dividing we subtract their exponents. 2

Michael F.

HARVARD/MIT TUTOR: ECON, FINANCE, ACCOUNTING, STATISTICS

New York, NY

4.9
(476 ratings)

Dr. Anthon S.

Best Results By Perfect Score SAT/ACT Tutor! Math, Physics and more!

New York, NY

5.0
(456 ratings)

Lorraine S.

Lorraine's Literacy and Learning for Life

Staten Island, NY

4.9
(455 ratings)

- Math Help 4861
- Algebra 4560
- Math Word Problem 3878
- Calculus 2020
- Word Problem 4730
- Algebra 2 3151
- Algebra 1 3754
- Math Problem 920
- Math Help For College 1306
- Math Equations 923