Exponents/ Roots

Question 1

Multiplying exponents

Answer 1

If same base, ADD the exponents (NOTE: No rule for adding exponents)

Question 2

Raising an exponent to a power

Answer 2

Multiply the powers

Question 3

Dividing Exponents

Answer 3

If same base, subtract the powers (NOTE: No rule for subtracting exponents)

Question 4

Negative Exponents

Answer 4

Put value in denominator i.e. 3^-2= (1/3^2)=(1/9)

Question 5

Raising a (positive or neg) fraction to a power

Answer 5

x^n decreases as n increases (positive fractions approach 0).

Question 6

Any number raised to 0 is….

Answer 6

1 (0^0 is undefined)

Question 7

0 raised to any number is…

Answer 7

0

Question 8

1 raised to any number is…

Answer 8

1

Question 9

Products of roots

Answer 9

If roots are the same, you can multiply whats inside the root

Question 10

How to rewrite sqrt(64 x 49)

Answer 10

sqrt(64) x sqrt(49)

Question 11

Quotients of roots

Answer 11

If roots are the same, you divide & combine into 1 square root. (Also can do the inverse & write as two separate roots)