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Chapter 5: Q. 127 (page 521)

In the following exercises, simplify each expression by applying several properties.

a.5t233t2b.t25t-42t37c.2xy2x3y-2212xy3x3y-1-1

Short Answer

Expert verified

The simplified form of the expressions

a.5t233t2=1125t8b.t25t-42t37=1t19c2xy2x3y-2212xy3x3y-1-1=y43x2

Step by step solution

01

Part (a) Step 1. Given information.

The given information is5t233t2.

02

Part (a) Step 2. Calculate the expression.

Calculation of expression:

First of all, apply the product to a power property.

We get,

Now, apply power property.

We get,

03

Part (b) Given information.

The given expression ist25t-42(t3)7.

04

Part (b) Step 2. Calculate the expression.

First of all, apply power property-

We get,

Now, apply property of negative exponents and cancel out the common terms.

We get,

05

Part (c) Given information.

The given expression is2xy2x3y-2212xy3x3y-1-1.

06

Part (c) Step 2. Calculate the expression.

First of all, apply the product to a power property.

We get,

Now, apply power property.

We get,

Finally, apply property of negative exponents and cancel out the common terms.

We get,

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