Exponent Laws
Simplify 34 x 3-2
9
Convert the standard decimal number 0.00048 into scientific notation.
4.8 * 10-4
Find the sum: (3.1 × 105) + (4.5 × 105). Express your answer in scientific notation.
7.6 x 105
Multiply the two monomial expressions: (-4x)(6x).
-24x2
Identify the greatest common monomial factor for the two terms: 15x2 and 25x.
5x
Simplify (x7 * x-3)/x2
x2
Which is greater: 6.2 * 10-5 or 1.8 * 10-4
1.8 * 10-4
Multiply (2.5 × 104) × (3.0 × 10-7). Express the product in scientific notation.
7.5 x 10-3
Apply properties of operations to multiply: (2/3 y)(-9y).
-6y2
Rewrite the sum 12a + 28 as a common factor multiplied by the sum of two terms.
4
Apply the Laws of Exponents to simplify (-2a3b-4)3
-8a9/b12
The diameter of a red blood cell is approx. 8 × 10-6 meters. The diameter of a virus particle is approx. 1 × 10-7 meters. How many times larger is the red blood cell?
80 times larger
Divide (1.2 × 108) / (4.0 × 103). Express in proper scientific notation.
3 x 104
Use the distributive property to multiply the monomial and linear expression: 0.4x(5x - 10).
2x2 - 4x
Evaluate the numerical expression [(23*2-5)-2]/22
4
Prompt: A smartphone memory chip holds 3.2 × 1010 bytes. An old storage disk holds 1.6 × 106 bytes. How many times larger is the smartphone chip capacity compared to the disk?
20,000 times larger
Subtract (8.4 × 107) - (5.2 × 106). Express your answer in scientific notation.
7.88 x 107
Multiply the rational expression: -3/4 m (8m - 12).
-6m2+ 9m