vocab 1
what are real roots?
type of roots if discriminant is not negative
Negative Exponent Property
a negative exponent tells us how many times to divide a base number.
index
An index, or power, is the small floating number that appears after a number or letter.
Xavier has 4 apples and picks 2 more. How many apples does Xavier have
4x + 2x = 6x
nth root
The number that must be multiplied times itself n times to equal a given value.
Power of a Product Property
The Product of Powers Property states that when multiplying two exponents with the same base, you can add the exponents and keep the base.
Exponent
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression
Debra has 4 bags of candy and has to split them with her brother. How many bags does Debra keep
2d
Power of a Quotient Property
This property states that when dividing two powers with the same base, we subtract the exponents.
power of a power property
The Power of a Power Property states that if an exponent is being raised to another exponent, you can multiply the exponents.
Radicand
the number under the radical sign
an asteroid is 1011 miles away from earth and it is travelling at a speed of 104 per day. How many days will it take the asteroid to reach earth?
107
Quotient of Powers Property
This property states that when dividing two powers with the same base, we subtract the exponents.
product of a powers property
This property states that when multiplying two powers with the same base, we add the exponents.
Radicals
An expression that uses a root, such as square root, cube root.
There are 56 grains of salt in a container of salt. If I buy 55 of salt from the store how much do I have altogether?
511
Zero Exponent Property
The zero exponent rule simply states that any nonzero number raised to the power of 0 is equal to 1.
Rational expressions
A rational expression is the ratio of two polynomials.
Radical expressions
A radical expression is an expression containing a square root.
how do you simplify this? x-3
1/x3