Exponents
Laws of Exponents
Scientific Notation
Vocab
100
Write 4x4x4x4x4x4x4 in exponential form.
4^7
100
Evaluate: (2^2)^3
4^3 = 64 or 2^6 = 64
100

Is 3.25 + 10^-7 written in scientific notation? If not, explain why. 

No, it should be multiplied, not added.

100

In the expression a^b, what is a?

base

200
Write 3^5 in expanded Form.
3x3x3x3x3
200
Simplify: (4y)^3
64y^3
200

Write 1,900,000,000,000,000,000,000,000,000 in scientific notation.

1.9 x 10^27

200

In the expression x^y, what is y?

Exponent

300
Evaluate the expression, (-3)^3
-27
300

Simplify: (x^5)(x^9)

x^14

300

Write 9.5 x 10^-3 in standard form. 

.0095

300

What notation do we use to write large numbers in a shorthand, simplified manner?

Scientific Notation

400
Evaluate the expression, (149)^0
1
400
Simplify: (36x^4y^3)/(6xy^2)
6x^3y
400

Which is larger 3.629 x 10^6 or 9 x 10^5. Explain how you know.

Sahara, because the exponent is bigger.

400

When something is described as this, it means it is growing fast

Exponential

500
Evaluate the expression, 9^-2
1/81
500
Simplify: (5x^2)^3/(7y^9)^0
125x^6
500

 Order these numbers from least to greatest: -1.7965 x 10^8, -1.323 x 10^7, -1.061 x 10^8, -7.49 x 10^7

Arctic, Indian, Atlantic, Pacific

500

Explain all the Rules of exponents

Product Rule: a^3*a^4 = a^7

Quotient Rule: a^5/a^3 = a^2

Power Rule: (a^2)^2 = a^4

Power of a Product Rule (a*b)^2 = a^2*b^2

Negative Power Rule: a^-2 = 1/a^2

Zero Power Rule: a^0 = 1

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