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Chapter 7: Q15. (page 404)

Simplify the expression

鈭�3p5t64

Short Answer

Expert verified

The simplified version of鈭�3p5t64 is 81p20t24.

Step by step solution

01

Step 1. State the product power law of ‘laws of indices’. 

According to this law, when a product is raised to a power, every factor of the product is raised to the power.

In general:xym=xmym

02

Step 2. State the ‘Law of indices’ for power of index numbers.

If a term with a power is itself raised to a power then the powers are multiplied together.

In general:xmn=xm脳n

03

Step 3. Simplify the expression.

The given expression is:鈭�3p5t64

First apply the product power law to simplify the given expression.

鈭�3p5t64=鈭�34p54t64

Apply the 鈥楲aw of indices鈥� for power of index numbers and simplify further.

鈭�3p5t64=鈭�34p54t64=81p5脳4t6脳4=81p20t24=81p20t24

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Most popular questions from this chapter

The formula for the surface area of a cube isSA=6s2where SAis the surface area and s is the length of any side.

a. Express the surface area of the cube as a monomial.

b. What is the surface area of the cube if a=3and b=4?

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Express the perimeter of the rectangle below polynomial.

F3x2鈭�4x+7

G3x2+x+7

H6x2鈭�8x+14

J6x2鈭�4x+7

Express each number in standard form.

9.1脳106

Choose a term from the Key Vocabulary list above that best describes the given expression.

6.2脳105

MULTIPLE CHOICE Antonia is carpeting two of the rooms in her house. The dimensions are shown. What is the total area to be carpeted?

Fx2+3x

G2x2+6x鈭�10

Hx2+3x鈭�5

J8x+12
See all solutions

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