Rules of Exponents
Simply the following - x3x5
x8
Write this number in scientific notation: 0.0000571
5.71x 10-5
Approximate: (5.3 x 102) x (1.1 x 103). Provide your answer in correct scientific notation. Simplify.
5 x 105
Calculate: (2.2 x 105) x (1 x 103). Provide your answer in correct scientific notation. Simplify.
2.2 x 108
Explain why x0 is always true.
A number raised to the power of 1 is itself, that number divided by itself will always be one. When a number raised to 1 is divided by itself the exponent decreases to 0 because of the quotient rule.
Write this number in standard form: 4.23 x 106
4,230,000
Approximate: (6.8 x 105) / (2.03 x 103). Provide your answer in correct scientific notation. Simplify.
3.5 x 102
Calculate: (3.157 x 106) / (2.4 x 103). Provide your answer in correct scientific notation. Simplify.
1.32 x 103
Simplify: (p3p-6)2
p-6
Explain what is actually happening when we “move the decimal”.
You are indicating that we are multiplying or dividing by powers of 10 because all the digits remain the same but the number is 10 times more or 10 times less.
The distance from the Earth to the Sun is 1.5 x 1011 meters. The speed of light is 3 x 108 meters per second. Estimate how long it will take for light to go from the Sun to Earth. Provide your answer in correct scientific notation. Simplify.
5 x 102
Calculate: (2.5 x 109) x (6.4 x 102). Provide your answer in correct scientific notation. Simplify.
1.6 x 1012