unit 2: exponents · 2015-01-30 · with exponents. •when multiplying, add the exponents •when...
TRANSCRIPT
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