Zero Exponent

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Show your work for each problem.

1.
What is $9^0$ ?
1. a)0
2. b)9
3. c)1
4. d)90
2.
Evaluate $25^0$ .
3.
Which expression is equal to $1$ ?
1. a) $1^5 + 1$
2. b) $5^0$
3. c) $5^1$
4. d) $0 \times 5$
4.
Evaluate $2^0 + 3^0$ .
5.
You know that $4^3 = 64$ . Use the pattern to find $4^0$ .
6.
Evaluate $\frac{6^3}{6^3}$ with the quotient rule and check the result.
7.
Simplify $5x^0$ (with $x \neq 0$ ).
1. a) $5x$
2. b) $1$
3. c) $5$
4. d) $0$
8.
What is $(-4)^0$ ?
1. a) $-4$
2. b) $0$
3. c) $-1$
4. d) $1$
9.
Evaluate $-4^0$ (no brackets).
10.
Evaluate $(2x)^0 + 2x^0$ for $x = 5$ .
11.
Evaluate $8^0 \times 8^2$ .
12.
Evaluate $-2^0 + (-2)^0$ .
13.
A population of insects is modeled by $P = 300 \times 3^t$ , where $t$ is the time in weeks. How many insects are there at the start ( $t = 0$ )?
14.
Which statement is true? (Assume $y \neq 0$ .)
1. a) $6^0 = 0$
2. b) $(6y)^0 = 6$
3. c) $-6^0 = 1$
4. d) $6y^0 = 6$
15.
Evaluate $\left(\frac{3}{4}\right)^0 \times 12 - 5^0$ .
16.
Find the exponent $n$ such that $7^n = 1$ .
17.
Evaluate $\frac{3^4 \times 3^2}{3^6} + 5^0$ .
18.
Evaluate $5x^0 + (5x)^0 - x^0$ for $x = 7$ .