91Ó°ÊÓ

One megabyte is approximately \(10^{6}\) bytes. One gigabyte is approximately \(10^{9}\) bytes. How many megabytes are in one gigabyte?

Maurice simplifies the quotient \(\frac{d^{7}}{d}\) by writing \(\frac{d^{7}}{d}=7 .\) What is wrong with his reasoning?

When Drake simplified \(-3^{0}\) and \((-3)^{0}\) he got the same answer. Explain how using the Order of Operations correctly gives different answers.

Divide each polynomial by the monomial. $$\frac{310 y^{4}-200 y^{3}}{5 y^{2}}$$

Divide \(\frac{10 x^{2}+x-12}{2 x}\) and explain with words how you get each term of the quotient.

Simplify. (a) \(2^{-8}\) (b) \(10^{-2}\)

Simplify. (a) \(3 \cdot 5^{-1}\) (b) \((3 \cdot 5)^{-1}\)

Simplify. $$\frac{x^{-7}}{x^{-3}}$$

Write each number in scientific notation. $$57,000$$

Write each number in scientific notation. $$0.026$$