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Use the Definition of a Negative Exponent In the following exercises, simplify each expression.

as-8b10-2c1t-9d110-4

Short Answer

Expert verified

The simplified expressions are:

as-8=1s8b10-2=1102c1t-9=t9d110-4=104

Step by step solution

01

Step 1.  Property for negative exponents

If nis an integer and a≠0, then

a-n=1anor1a-n=an

02

Part a Step 1. Given information

The given expression is s-8.

We have to simplify the given expression using negative exponents

03

Part a Step 2. Simplify

Using Property for negative exponents,

s−8=1s8

So, the simplified expression iss−8=1s8

04

Part b Step 1. Given information

The given expression is10-2 .

We have to simplify the given expression using negative exponents

05

Part b Step 2. Simplify

Using Property for negative exponents,

10−2=1102

So, the simplified expression is10−2=1102

06

Part c Step 1. Given information 

The given expression is1t-9 .

We have to simplify the given expression using negative exponents

07

Part c Step 2. Simplify

Using Property for negative exponents,

1t−9=t9

So, the simplified expression is1t−9=t9

08

Part d Step 1. Given information

The given expression is 110-4 .

We have to simplify the given expression using negative exponents

09

Part d Step 2. Simplify

Using Property for negative exponents,

110−4=104

So, the simplified expression is110−4=104

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