Exponents
Write each expression as a single exponent.
32*3-7
3-5 or 1/35
express 0.000364 in scientific notation
3.64*10-4
What do we do with the exponents for this problem 33*39
add exponents
Simplify (3.0x104)+(5.2x104) the expression and express the answer in scientific notation.
8.2x104
express 3.14x104 in standard notation
31,400
Write each expression as a single exponent
47/42
45
express 78,400,000,000 in scientific notation
7.84*1010
What do we do with the exponents for this problem 39*33
subtract exponents
Simplify (2.0x107)(4.0x103) the expression and express the answer in scientific notation.
8x1010
express 5.8x10-3 in standard notation
0.0058
Write each expression as a single exponent
(53)-4
5-12 or 1/512
express 20 in scientific notatoin
2.0*101
What do we do with the exponents for this problem (34)2?
Multiply exponents
Simplify (6.4x105)-(4.0x104) the expression and express the answer in scientific notation.
6.0x105
express 9.2x10-7 in standard notation
0.00000092
Write each expression as a single exponent
43*73
283
express 3.14 in scientific notation
3.14*100
how do we convert a negative exponent into a positive exponent?
take the reciprocal of the base and change the sign of the exponent. Turn to a fraction and the base becomes the denominator with the positive exponent.
Simplify (21x109)/(3x104) the expression and express the answer in scientific notation.
7x105
express 4.2x101 in standard notation
42
Write each expression as a single exponent
(78)-3*(5-4)6
35-24 or 1/3524
express 20*104 in scientific notation
2.0*105
What does a base with an exponent of zero result to?
1
Simplify (3.0x105)(8.0x10-3) the expression and express the answer in scientific notation.
2.4x103
express 7.2x100 in standard notation
7.2