Chapter 8: Q 154E (page 788)

In the following exercises, simplify:
Part (a): $q^{\frac{2}{3}} . q^{\frac{5}{6}}$
Part (b): ${(h^{6})}^{\frac{4}{3}}$
Part (c): $\frac{n^{\frac{3}{5}}}{n^{\frac{8}{5}}}$

Short Answer

Expert verified

Part (a): On simplifying, we get $q^{\frac{3}{2}}$ .

Part (b): On simplifying, we get $h^{8}$ .

Part (c): On simplifying, we get $\frac{1}{n}$ .

Step by step solution

Part (a) Step 1. Given information.

Consider the given question,

$q^{\frac{2}{3}} . q^{\frac{5}{6}}$

Using the product property,

$= q^{\frac{2}{3} + \frac{5}{6}} = q^{\frac{4 + 5}{6}} = q^{\frac{9}{6}} = q^{\frac{3}{2}}$

Part (b) Step 1. Given information.

Consider the given question,

${(h^{6})}^{\frac{4}{3}}$

Using the power property,

$= h^{6 \times \frac{4}{3}} = h^{2 \times 4} = h^{8}$

Part (c) Step 1. Given information.

Consider the given question,

$\frac{n^{\frac{3}{5}}}{n^{\frac{8}{5}}}$

Using the quotient property,

$= n^{\frac{3}{5} - \frac{8}{5}} = n^{- \frac{5}{5}} = n^{- 1} = \frac{1}{n}$

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In the following exercises, simplify:
Part (a): $q^{\frac{2}{3}} . q^{\frac{5}{6}}$
Part (b): ${(h^{6})}^{\frac{4}{3}}$
Part (c): $\frac{n^{\frac{3}{5}}}{n^{\frac{8}{5}}}$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (b) Step 1. Given information.

Part (c) Step 1. Given information.

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In the following exercises, simplify:Part (a): q23.q56Part (b): h643Part (c):n35n85

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (b) Step 1. Given information.

Part (c) Step 1. Given information.

One App. One Place for Learning.

Most popular questions from this chapter

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Statistics

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify:
Part (a): $q^{\frac{2}{3}} . q^{\frac{5}{6}}$
Part (b): ${(h^{6})}^{\frac{4}{3}}$
Part (c): $\frac{n^{\frac{3}{5}}}{n^{\frac{8}{5}}}$