Exponent Rules
Simplify:
9^4 * 9^3
9^7
What is the value of x in the expression:
x^2 = 25
x = 5
Write 58,000,000 in scientific notation
5.8 * 10^7
(1*10^-3)(9*10^-3)
9*10^-6
Rational or Irrational?
sqrt64
Rational - it equals 8
Simplify:
12^5 / 12^3
12^2
What is
sqrt 16
4
Write 0.000005 in scientific notation
5 * 10^-6
(4*10^6)/(2*10^4)
2*10^2
Rational or irrational? Why?
9.5697362.....
Irrational - non terminating decimal
What is 860?
Carrie made a square tablecloth with an area of 64 square inches. What was the length of each side of the tablecloth?
8 inches
What is 5.687 * 10^5 in standard form?
568,700
(6*10^5)(3*10^-3)
1.8*10^-1
Rational or Irrational? Why?
-9.16161616161616.....
Rational - Repeating decimal
Simplify:
(2^3)^7
2^21
The carpet used in Ms. Grove's bedroom covers an area of 121 square feet. If the carpet is a square, what is the length of each side of the carpet?
11 feet
what is 6.88* 10^-5 in standard form?
0.0000688
(3*10^8)/(6*10^4)
5*10^3
Rational or Irrational? Why?
sqrt19
Irrational - not a perfect square root
Simplify fully & do not leave any negative exponents
(4^3 * 4^2)/4^10
4^5/4^10 = 4^-5 = 1/4^5
A square has an area of 21 inches squared. What is the length of each side?
sqrt21
What is 32.4* 10^5 in correct scientific notation?
3.24*10^6
Ms. Neuerburg's company earned $2.5*10^4 for 1*10^3 days in a row. What was her company's total profit?
(2.5*10^4)(1*10^3)
2.5*10^7
Rational or irrational? Why?
2/(3pi)
Irrational - it is not a fraction that can be written as integer/integer
Simplify:
((2^3)^5)/2^6
2^9
What is the equivalent to
sqrt (1/16
1/4
What is 0.003*10^-2 in correct scientific notation?
3*10^-5
The populations of Ms. Barnharts new town is 8*10^6 and the population of Ms. Grove's new town is 4*10^3 . How many times larger is the population of Ms. Barnharts town?
(8*10^6)/(4*10^3) = 2*10^3
(2pi)/pi
Rational or Irrational?
Rational - it simplifies to
2/1 = 2