지수법칙

• ⓐ $\,\frac{{y}^{3}}{y}$
• ⓑ $\,\frac{y}{{y}^{3}}$

• ⓐ $\,\frac{{z}^{6}}{{z}^{5}}$
• ⓑ $\,\frac{{z}^{5}}{{z}^{6}}$

$(8{x}^{5})(9x)\div 6{x}^{3}$

$(4y)(12{y}^{7})\div 8{y}^{2}$

$\frac{27{a}^{7}}{3{a}^{3}}+\frac{54{a}^{9}}{9{a}^{5}}$

$\frac{32{c}^{11}}{4{c}^{5}}+\frac{42{c}^{9}}{6{c}^{3}}$

$\frac{32{y}^{5}}{8{y}^{2}}-\frac{60{y}^{10}}{5{y}^{7}}$

$\frac{48{x}^{6}}{6{x}^{4}}-\frac{35{x}^{9}}{7{x}^{7}}$

$\frac{63{r}^{6}{s}^{3}}{9{r}^{4}{s}^{2}}-\frac{72{r}^{2}{s}^{2}}{6s}$

$\frac{56{y}^{4}{z}^{5}}{7{y}^{3}{z}^{3}}-\frac{45{y}^{2}{z}^{2}}{5y}$

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

Memory One megabyte is approximately ${10}^{6}$ bytes. One terabyte is approximately ${10}^{12}$ bytes. How many megabytes are in one terabyte?

Vic thinks the quotient $\frac{{x}^{20}}{{x}^{4}}$ simplifies to ${x}^{5}.$ What is wrong with his reasoning?

Mai simplifies the quotient $\frac{{y}^{3}}{y}$ by writing $\frac{{y}^{3}}{y}=3.$ What is wrong with her reasoning?

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

Roxie thinks ${n}^{0}$ simplifies to $0.$ What would you say to convince Roxie she is wrong?

What is the place value of the $6$ in the number $64,891?$

Name the decimal $0.0012.$

Subtract: $5-(-3).$

Simplify: - ⓐ $\,{4}^{-2}$

• ⓑ $\,{10}^{-3}$