###
(1/2)(b)(h)

Area of a triangle

###
A triangle with two equal sides and two equal angles is...

An isosceles triangle

###
(b)(h)

(f) Area of a parallelogram

###
(π)(r2)

(f) Area of a circle

###
(2)(π)(r)

(f) Circumference of a circle

###
(l)(w)(h)

(f) Volume of a rectangular solid

###
(π)(r2)(h)

(f) Volume of a cylinder

###
180(n-2) n=number of sides

(f) Sum of interior angles of a polygon

###
Even exponents always result in...

A positive integer

###
An exponential expression with a base of 1 =

1

###
An exponential expression with a base of -1 =

-1 if the exponent is odd, 1 if the exponent is even

###
When the base of an exponential expression is a positive proper fraction, the value of the expression __________ as the exponent increases

decreases

###
When the base of an exponential expression is a positive decimal between 0 and 1, the value of the expression _________ as the exponent increases

decreases

###
When multiplying two exponential terms with the same base...

Combine exponents by adding

###
When can you combine exponents via addition?

When you are multiplying exponential terms with the same base

###
When dividing two exponential terms with the same base...

Combine exponents by subtracting

###
When can you combine exponents via subtraction?

When you are dividing exponential terms with the same base

###
When raising a power to a power...

Combine exponents by multiplying

###
When can you combine exponents via multiplication?

When you are raising one power by another power

###
A negative exponent implies...

The reciprocal of the base

###
Any base raised to the first power is...

The base

###
What exponent is always implied on a number?

1

###
Any nonzero base raised to the power of 0 is...

1

###
For fractional exponents, the base number is raised to the _______ and taken to the root of the ________.

raise: numerator, root: denominator

###
12⁵ = (simplify)

(4⁵)(3⁵) = (2¹⁰)(3⁵)

###
2⁵/2¹¹ = (simplify)

1/2ˉ⁶ = 2⁶

###
(10/2)⁶ = (simplify)

10⁶/2⁶ = 5⁶

###
3⁵/9⁵ = (simplify)

(3/9)⁵ = (1/3)⁵ = 3ˉ⁵

###
27⁴ʹ³ =

³√(27⁴) = (³√27)⁴ = 3⁴ = 81

###
3⁴ + 3⁴ + 3⁴ = (simplify)

3(3⁴) = 3⁵

###
3ⁿ + 3ⁿ + 3ⁿ =

3(3ⁿ) = 3ⁿ⁺¹

###
You can simplify exponential expressions that are linked by...

multiplication or division

###
You can not simplify exponential expressions that are linked by...

addition or subtraction

###
You can simplify exponential expressions linked by multiplication/division if...

they have an exponent or base in common

###
(d) Root

Radical, Opposite of an exponent

###
When taking the even root of a number, only use the...

nonnegative root

###
Odd roots have the _____ of the base

sign

###
Describe the numerator and denominator of a fractional exponent

numerator = power raised, denominator = root taken

###
You can find the root of a number by...

Breaking the number down into prime factors

###
You can simplity roots by combining/separating in...

multiplication or division

###
(d) Imperfect square

Square root of the the number is not an integer

###
How do you estimate the roots of imperfect squares?

Find the two closest perfect squares. If there is a coefficient, transfer it to under the root before searching for the two closest perfect squares

###
ᵇ√xᵃ =

(ᵇ√x)ᵃ = ᵇ(√xᵃ) = xᵃʹᵇ

###
25³ʹ² = (solve)

(√25)³ = 5³ = 125

###
49ˉ¹ʹ² = (solve)

1/√49 = 1/7

###
√(x+y) =

Cannot be simplified

###
√x + √y =

Cannot be simplified

###
√(x-y) =

Cannot be simplified

###
√x - √y =

Cannot be simplified

###
PEMDAS

Order of Operations: Parentheses, Exponents, Multiplication/Division (Left to Right), Addition/Subtraction (Left to Right)

###
Within PEMDAS, absolute values signs are equitable to...

Parentheses

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