Powers with Negative Bases

Q. $\text{What is the value of}(\frac{4}{3}{)}^{-2}$ ?

1. $\frac{16}{9}$
2. $\frac{9}{16}$
3. $\frac{-16}{-9}$
4. None of the above

Q. Select all the numbers which are positive.

1. $(-5{)}^2$
2. $(-7{)}^3$
3. $9^3$
4. $-6^8$

Q. What is the sign of $(-5{)}^9\times {27}^3?$

1. Negative
2. Positive
3. Cannot be determined

Q. How can -2 be used as a base to write 32?

1. $(-2{)}^5\times (-1{)}^5$
2. $(-2{)}^5\times 1^5$
3. $(-2{)}^5\times (-1{)}^0$
4. $(-2{)}^5\times 1^0$

Q.

Which of the following numbers is a perfect square?

1. $2$

2. $4$

3. $6$

4. $8$

Q. Evaluate: $7^0+2^{-1}$

1. $\frac{1}{2}$
2. $\frac{7}{2}$
3. $\frac{3}{2}$
4. 2

Q. For $a<0,$ select the correct statement(s).

1. $a^n=$ positive, if $n$ is even
2. $a^n=$ positive, if $n$ is odd
3. $a^n=$ negative, if $n$ is even
4. $a^n=$ negative, if $n$ is odd

Q. A negative base can be created by rewriting which of the following exponents?

1. ${2021}^{2022}$
2. ${2020}^{2021}$
3. ${5050}^{5051}$
4. ${5051}^{5052}$