Problem 20
Convert each number into scientific notation. $$0.07$$
Problem 21
Convert each number into scientific notation. $$0.00000003$$
Problem 26
Simplify each of the following expressions as completely as possible. Final answers should be expressed with positive exponents only. (Assume that all variables represent positive quantities.) $$w w^{6} w^{-4}$$
Problem 29
Convert each number into scientific notation. $$56 \times 10^{-2}$$
Problem 29
Simplify each of the following expressions as completely as possible. Final answers should be expressed with positive exponents only. (Assume that all variables represent positive quantities.) $$\left(a^{5}\right)^{-2}$$
Problem 32
Convert each number into scientific notation. $$234.8 \times 10^{-3}$$
Problem 33
Convert each number into scientific notation. $$28.40 \times 10^{6}$$
Problem 35
Simplify each of the following as completely as possible. $$\left(-x^{3} y\right)^{3}$$
Problem 36
In Exercises \(27-50,\) perform the indicated operations and simplify. $$\left(r^{3} s^{2}-r^{2} s^{3}-2 r^{2} s^{2}\right)+\left(5 r^{2} s^{3}-r^{2} s^{2}-r^{3} s^{2}\right)$$
Problem 37
Simplify each of the following expressions as completely as possible. Final answers should be expressed with positive exponents only. (Assume that all variables represent positive quantities.) $$10^{7} 10^{-7}$$