Rules
When Multiplying powers, _______ the exponents.
Add
x4x9
x13
x9/x4
x5
(10p4m3)(8pm2)
80p5m5
TRUE/FALSE
When multiplying and dividing in scientific notation, the exponents must be the same.
FALSE
When dividing powers, _______ the exponents.
Subtract
(2x4)(5x9)
10x13
x4/x9
1/x5
3x2/9x5
1/3x3
1.29 x10-2
When raising a power to a power, ______ the exponents.
Multiply
(x4x9)2
x26
4x4/12x8
1/x4
DAILY DOUBLE
3-2x9y0/x-3
x12/9
TRUE/FALSE
When adding and subtracting numbers in scientific notation, the exponents will stay the same.
TRUE unless the final answer needs to be further changed to a number between 1-10
DAILY DOUBLE
When multiplying powers, ______ the coefficients. When dividing powers, _______ the coefficients.
Multiply, Divide/simplify
(2x4x9)3
8x39
x7y6/x-4y
x11y5
-4x8y-2/2y-2
-2x8
6.8 x105 - 2.9 x103
6.771 x105
How do you simplify a negative exponent? Come up with an example.
Move the negative exponent and its base to the opposite side of the fraction
(-7x0y3)(2x5y-1)
-14x5y2
(4x3y-3/3x-2y8)2
16x10/9y22
(2x3y-3)3(3x-1y3)
24x8/y6
The diameter of Jupiter is 16 x103 miles. The diameter of Neptune is 12 x102 miles. How many times larger than Neptune is Jupiter?
Change final answer as standard notation and round to the nearest whole number.
13.3 miles or approx. 13 rounded