Use the Law of Exponents to Rewrite and Simplify the Expression

question 48

Multiple Choice

Use the Law of Exponents to rewrite and simplify the expression. $\frac{\sqrt{a \sqrt{b}}}{\sqrt[7]{a b}}$

• A) \(a^{\frac{5}{14}} b^{\frac{3}{28}}\)
• B) \(\frac{a}{b^{\frac{3}{28}}}\)
• C) \(\frac{a}{b}\)
• D) \(\frac{a^{\frac{5}{14}}}{b^{\frac{3}{28}}}\)
• E) \(\left(\frac{a}{b}\right)^{\frac{5}{14}}\)

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Definitions:

Quantity

The amount or number of a material or immaterial thing.

Quality

Quality refers to the standard of something as measured against other things of a similar kind, or the degree of excellence of something.

Rocks Break

The physical process of rocks fracturing or cleaving under stress, leading to their breakage.

Windows

A graphical operating system environment developed by Microsoft, or openings in the walls of buildings covered with glass.