Class 4 Lecture (Exponents) – SAT, SHSAT & BCA Test Prep

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TestPrepSHSAT Math Class 4

Welcome to the EXPONENTS instruction unit.VIDEO TUTORIAL:

Exponents - Part A

Exponents - Part B

These instructional quizzes are short, limited to only about a dozen questions, and they are not graded or timed. Occasionally there will be a question introducing a topic that you are not expected to answer at first. Do not panic. The instructional material will likely be introduced in the following answer explanation. The purpose of these instructional modules is to review subject material by topic that you will likely encounter on the exam and provide some topic specific tips to improve your ability to solve related problems.

DO YOU KNOW YOUR EXPONENT RULES WELL?

Yes

No

Evaluate the following:

$\frac{{{4^2} \times {4^4} \times {4^5}}}{{{4^3}}} =$

$4^4$

$4^5$

$4^8$

$4^{11} - 4^3$

Evaluate the following:

${4^3} \times {3^3} =$

$12^3$

$12^6$

${3^4} \times {4^3} =$

$144$

Which of the following statements are false?

Check all that apply.

$a{b^2} = {\left( {ab} \right)^2}$

${\left( {a + b} \right)^2} = {a^2} + {b^2}$

${5^4} = 5 \times 5 \times 5 \times 5$

${x^2}{y^2} = {\left( {xy} \right)^2}$

Evaluate the following:

${\left( {{{\left( {{{10}^3}} \right)}^2}} \right)^2} =$

$10^7$

$10^6$

$1000000000$

$10^{12}$

Evaluate:

A: B:

C:

A = B = C =

${5^{\frac{2}{3}}} = ?$

$\sqrt[3]{{{5^2}}}$

$\frac{1}{{5 \times \sqrt 5 }}$

${\left( {\frac{1}{5}} \right)^{\frac{2}{3}}}$

Evaluate:

${10^{ - 2}} = ?$

-100

1/-100

1/100

${\left( {\frac{1}{5}} \right)^{ - 2}} = ?$

1/25

1/5

5

25

Express 7,043 in scientific notation.

$7.043 \times {10^2}$

$7.043 \times {10^3}$

$7.043 \times 1000$

The word nano as in nanotechnology lab implies '1 billionth'. If the nanotechnology lab can measure something 1 nanometer wide the scientific notation would be expressed as $1.0 \times {10^?}$ . What is the missing exponent?

The square root of a number equals 1/9. What is the number?

1/3

1/9

2/9

81

1/81

What digit is in the hundreds place for ${5^{2013}}$ ?

Khan Academy (Exponents)

school-bus

Exponents Introduction

Approximately 5 minutes video.

Exponents Rules

Approximately 15 minutes video.

Fractional and Negative Exponents

Approximately 15-30 minutes in several videos.

Math Is Fun (Exponents)

books

Exponents

Laws of Exponents

Fractional Exponents

Negative Exponents

Variables with Exponents

Exponents and Sign

Related Practice Drills

Use the practice drills to the right to help master the course material.

Exponents

T.A.’s Office

Einstein Circle

Front-Page-2015-SHSAT

The teaching assistant’s office door is always open! Ask questions and get answers about this course unit. Type your question below or review other questions & answers.

Charles

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