Chapter P.3, Problem 34E

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Chapter
Section

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem
1 views

25-34 Simplifying Expressions with Exponents Simplify each expression, and eliminate any negative exponents(s). (a) ( s 2 t − 4 5 s − 1 t ) − 2 (b) ( x y z − 2 − 3 x 2 y 3 z − 4 ) − 3

To determine

(a)

To Simplify:

The given expression, (s2t45s1t)2.

Explanation

Given:

The given expression is (s2tâˆ’45sâˆ’1t)âˆ’2.

Procedure used:

According to the Zero and Negative Exponents rule, we can see that if aâ‰ 0 is a real number and n is a positive integer, then

a0=1 and aâˆ’n=1an

From, the law of exponents, we know that

(ab)m=ambm â€¦ (1)

aman=am+n â€¦ (2)

aman=amâˆ’n â€¦ (3)

Calculation:

Here, using the Law of Exponents rule (1), (3) and Negative Exponent rule, we can see that

(s2tâˆ’45sâˆ’1t)âˆ’2=(

To determine

(b)

To Simplify:

The given expression, (xy2z3x2y3z4)3.

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