Exponents and Their Applications

Exponents and Their Applications

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to simplify problems involving decimal powers and exponents, which are common in quantitative aptitude exams. It covers converting decimals to fractions, using prime factorization, and applying laws of exponents to solve problems efficiently. The tutorial also addresses handling reciprocal bases and provides tips for exam preparation.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are decimal powers considered challenging in exams?

They are rarely used in real life.

They test comfort with decimals.

They involve complex calculations.

They are not covered in textbooks.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying 16 raised to the power of 1.5?

Convert 16 to a decimal.

Factorize 16 into prime factors.

Multiply 16 by 1.5.

Divide 16 by 1.5.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 1.5 be expressed as a fraction?

2/3

1/2

5/2

3/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of 81 raised to the power of 0.25?

27

81

3

9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 2 raised to the power of 6 multiplied by 3?

192

128

64

256

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second problem, what happens when two terms with the same base are multiplied?

The exponents are divided.

The exponents are subtracted.

The exponents remain unchanged.

The exponents are added.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is 3.5 expressed as a fraction?

3/2

7/3

7/2

5/2

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