Unit 2: Exponents · 2015-01-30 · with exponents. •When multiplying, add the exponents •When...

Unit 2: Exponents

Review

What is on the test???

1. Exponent Rules

2. Perfect Squares

3. Square Roots / Cube Roots

4. Estimating Non-Perfect Squares

5. Scientific Notation / Standard Form

6. Multi-Step Equations

Very small numbers,

less than one, are

represented using

positive or negative

exponents?

Negative

Numbers raised to

negative exponents

can be expressed as

fractions?

Yes

Simplify and rewrite

with positive exponents:

7aˉ³b²

𝟕𝒃𝟐

𝒂𝟑

Rewrite the number using

positive exponents:

4aˉ³b³cˉ²

𝟒𝒃𝟑

𝒂𝟑𝒄𝟐

State two rules we

use when operating

with exponents. • When multiplying, add the exponents

• When dividing, subtract the exponents

• Power to a power requires multiplying the

exponents

• Zero power, unless the base is zero, has an

answer of 1

• Negative exponents, the base becomes its

reciprocal with a positive exponent

Solve for x:

16 + x = 20

x = 4

Solve for x:

2x = 28

x = 14

Solve for c:

3(c+4) = 18 + c

3c + 12 = 18 + c

c = 3

Solve for a:

a² + 144 = 225

a2 = 81

a = ±9

Estimate the square

root of 108.

≈ ±10.4

What is the negative

square root of 196?

−𝟏𝟒

What is the value of

0.000078 in scientific

notation?

7.8 x 10-5

What is the value in

standard notation?

2.34 X 10³

2340

A number raised to the

power of zero is always

equal to…

1

Simplify:

X6 * X15

x21

Simplify:

6-3(62) 6-1

What is 4.25 x 10-3 in

Standard Form?

.00425