Question 1

Simplify the following expression: $$(-4)^1$$ - $$(-4)^0$$

Accepted Answer

$$-5$$

Question 2

Which of the following correctly applies the zero exponent rule to any nonzero number $$a$$?

Accepted Answer

$$a^0 = 1$

Question 3

Evaluate the following: $$(-2)^3$$ + $$(-2)^0$$

Accepted Answer

$$-7$$

Question 4

Which of the following is equivalent to $$(-3)^2$$ - $$(-3)^0$$?

Accepted Answer

$$9 - 1$$

Question 5

A chemist is measuring the concentration of a solution and records the value as $$c^0. $$What is the value of $$c^0 if$$ $$c 
eq 0$$?

Accepted Answer

$$1$$

Question 6

Simplify the following expression: $$2^3$$ - $$2^0$$

Accepted Answer

$$6$$

Question 7

Which of the following is the correct simplification of $$(-5)^1$$ - $$(-5)^0$$?

Accepted Answer

$$-6$$

Question 8

A medical researcher notes that the growth rate of a bacteria culture is modeled by $$g^0$$ for a constant $$g. $$What is the value of $$g^0$$?

Accepted Answer

$$1$$

Question 9

Evaluate the following: $$(-7)^1$$ - $$(-7)^0$$

Accepted Answer

$$-8$$

Question 10

Which of the following statements is true about any nonzero real number $$a$$?

Accepted Answer

$$a^1 = a$

Question 11

A company’s profit is modeled by $$p^1$$ - $$p^0$$ where $$p is $$the profit in thousands of dollars. If $$p = 10$$, what is the value of the expression?

Accepted Answer

$$9$$

Question 12

Simplify the following: $$(-6)^1$$ - $$(-6)^0$$

Accepted Answer

$$-7$$

Question 13

Which of the following is the correct value for $$(-1)^0$$?

Accepted Answer

$$1$$

Question 14

If $$x is a $$nonzero real number, what is $$x^0$$ + $$x^1$$?

Accepted Answer

$$1 + x$$

Question 15

A historical population model uses $$P^0 to $$represent a baseline. If $$P = 1000$$, what is $$P^0$$?

Accepted Answer

$$1$$

Simplifying Expressions with Exponents

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