Consider the laws of exponents $A^{\prime} A^{\prime}=A^{r+1}$ and $\left(A^r\right)^{\prime \prime}=A^{r s}$. Show that if $A$ is invertible, then these laws hold for all negative integer values of $r$ and $s$.

Why did Andrew Jackson defeat John Quincy Adams so dramatically in the $1828$ election?

Test the following decays for violation of the conservation of energy, electric charge, baryon number, and lepton number: $\pi^0 \rightarrow \mathrm{e}^{+}+\mathrm{e}^{-}+\gamma$. Assume that linear momentum and angular momentum are conserved. State which conservation laws (if any) are violated in each decay.

Discuss the following conservation laws: energy, linear momentum, angular momentum, electric charge, baryon number, lepton number, and strangeness. Are all these laws based on fundamental properties of nature? Explain.

Coup is to government as _______. a. wave is to sandcastle b. vote is to election c. omnipresent is to omnipotent d. vulnerable is to stable

A vocabulary word appears in italics in the sentence or short passage below. Think about how the word is used in the passage. Then write a definition for the vocabulary word.

After a recount showed he had won the election, Senator Case had to $recant$ his statement that the election was fixed.

You and your best friend are among several candidates running for class president. You estimate that there is a $40 \%$ chance you will win the election and a $35 \%$ chance your best friend will win. What is the probability that either you or your best friend wins the election?

Simplify using the laws of exponents: $n^{3} \times n^{9}$

How did the expansion of voting rights contribute to Andrew Jackson's victory in the 1828 presidential election?

Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer rounded to the number of significant digits indicated by the given data.

$$\frac { \left( 3.542 \times 10 ^ { - 6 } \right) ^ { 9 } } { \left( 5.05 \times 10 ^ { 4 } \right) ^ { 12 } }$$

Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer correct to the number of significant digits indicated by the given data.

$$\frac{\left(3.542 \times 10^{-6}\right)^9}{\left(5.05 \times 10^4\right)^{12}}$$

Evaluate Impact of Progressive Party

Write a paragraph evaluating how Theodore Roosevelt's run as the candidate for the Progressive Party affected the 1912 presidential election. Consider what led to the formation of the Progressive Party and Roosevelt's thirdparty candidacy and what the impact of the Progressive Party was on the election.

Seventy percent of a town's population voted in an election. If $1,589$ people voted, what is the population of the town?

In your own words, describe the two laws of reflection.