Exponent Expressions and Calculations

Question 1

What is the value of the expression $(-3)^2$?

Accepted Answer

9

Question 2

If $a = 2$ and $b = -3$, which expression equals $a^{b}$?

Accepted Answer

$2^{-3}$

Question 3

Simplify $ (2^{-3}) \times (2^{5}) $.

Accepted Answer

2^{2}

Question 4

Which of the following is equivalent to $\frac{1}{2^{4}}$?

Accepted Answer

2^{-4}

Question 5

Evaluate $ (-2)^{3} \times (-2)^{2} $.

Accepted Answer

-32

Question 6

What is the result of $ (5^{0}) \times (7^{2}) $?

Accepted Answer

49

Question 7

If $x = -2$, which expression correctly represents $x^{4}$?

Accepted Answer

16

Question 8

Choose the equivalent form of $3^{2} \times 3^{-5}$.

Accepted Answer

3^{-3}

Question 9

Which of the following statements is true about $ (-1)^{n} $ for integer $n$?

Accepted Answer

It equals 1 if $n$ is even, -1 if odd

Question 10

Simplify $ \frac{2^{3}}{2^{-2}} $.

Accepted Answer

2^{5}

Question 11

If $a = 4$ and $b = -1$, what is $a^{b}$?

Accepted Answer

$\frac{1}{4}$

What is the value of the expression \((-3)^2\)?