Problem 52
Factor out the greatest common factor. $$24 m^{4} n^{2}+36 m^{3} n-48 m^{2} n^{3}$$
Problem 53
Simplify. Write the answer with positive exponents only. $$\frac{2}{x^{-2} y^{-3}}$$
Problem 57
Simplify. Write the answers with positive exponents only. $$p^{-8} p^{3}$$
Problem 58
Evaluate the polynomial for the given values of the variable. \(x^{2}+x+2\) a. for \(x=-10\) b. for \(x=\frac{2}{5}\)
Problem 59
Simplify. Write the answers with positive exponents only. $$\frac{x^{5}}{x^{-7}}$$
Problem 63
For Exercises \(49-64\), convert to standard form. $$9.001 \times 10^{8}$$
Problem 64
Simplify. Write the answers with positive exponents only. $$\left(p^{4}\right)^{-5}$$
Problem 70
For Exercises \(65-72\), write the mass of the planet in scientific notation if it is not already in scientific notation. (TABLE CAN'T COPY) $$\text { Saturn } \quad 586.5 \times 10^{24}$$
Problem 73
Perform the indicated operations. $$\left(-5 a^{2}-9 a^{3}+10 a^{4}\right)+\left(2 a^{3}-a^{4}\right)-\left(8 a+4 a^{3}+10 a^{4}\right)$$
Problem 74
Simplify. Write the answers with positive exponents only. $$\frac{2^{3}}{2^{-2}}$$