Exponent Properties

Question 1

1.. Product of Powers

Answer 1

(x^a)(x^b)=x^(a+b)

add exponents x^(a+b)

Question 2

2. Power to a Power

Answer 2

(x^a)^b=x^(ab)

Question 3

3. Quotient of Powers

Answer 3

X^a/x^b=x^(a-b)

subtract exponents

Question 4

4. Power of a Product

Answer 4

(xy)^a=x^ay^a

Question 5

5. Power of a Quotient

Answer 5

(x/y)^a=x^a/y^a

Question 6

6. Negative Exponent

Answer 6

x(^-a)=1/x^a

flip the negative from the denominator to the numerator .

Question 7

7. Zero Exponent

Answer 7

x^0=1

Question 8

Rational Exponents

Answer 8

X^a/b = Rational Expressions:
b√X^a = (b√X)^a

Radical Exponents without roots = 2.

Question 9

Simplifying Expressions

Answer 9

Convert a negative exponents to positive and then switch numerators and denominators.

When entire expression is in parentheses, complete those operations before factoring in the exponent.

Question 10

Standard Exponential Functions

Answer 10

Standard Exponential Functions have two constants, one by itself and another raised to the x power, for example: y = ab^x.