Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+1^0)

Question

An equivalent expression to 4/3(−2+10) is 4/3(−2+?).

Answer 1

The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1. In this case, since \(1^0\) equals 1, we can substitute that in the expression.

We start with the expression \(4/3(-2 + 1^0)\):

1. Apply the Zero Power Rule: \[ 1^0 = 1 \]

2. Substitute \(1\) back into the expression: \[ 4/3(-2 + 1) \]

Now, you can simplify the expression further:

• Calculate \(-2 + 1\): \(-2 + 1 = -1\)

So, we have an equivalent expression: \[ \frac{4}{3}(-1) \]

The equivalent expression to \(4/3(-2 + 1^0)\) is: \[ 4/3(-2 + 1) \text{ or } 4/3(-1) \]

Thus, the expression can be shown as: \[ 4/3(-2 + ?) \]

For your specific question, you can fill in the blank with \(1\), so: \[ \text{An equivalent expression to } \frac{4}{3}(-2 + 1^0) \text{ is } \frac{4}{3}(-2 + 1). \]

Answer 2

ummm *confused face no symbols

Answer 3

I apologize for any confusion! Let's go through it step-by-step without using symbols.

1. You start with the expression: four-thirds times the quantity of negative two plus one raised to the power of zero.

2. According to the zero power rule, one raised to the power of zero equals one.

3. So, you can replace one raised to the power of zero with one. This gives you: four-thirds times the quantity of negative two plus one.

4. Now, you can simplify what's inside the parentheses: negative two plus one equals negative one.

5. Therefore, your expression becomes: four-thirds times negative one.

So, to summarize, you can say that four-thirds times negative two plus one raised to the power of zero is equal to four-thirds times negative two plus one.

If it helps, you can fill in the blank in your question with "one."

Let me know if this helps clarify things!

Answer 4

Solve the expression 2(1.6^0+7)−4.9^0
2(1.6^0+7)−4.9^0=?

.

Answer 5

Let's solve the expression step by step.

1. First, apply the zero power rule. Any non-zero number raised to the power of zero is equal to 1. Therefore:

   • \(1.6^0 = 1\)
   • \(4.9^0 = 1\)

2. Substitute those values back into the expression: \[ 2(1 + 7) - 1 \]

3. Simplify what's inside the parentheses: \[ 1 + 7 = 8 \]

4. Now replace back into the expression: \[ 2(8) - 1 \]

5. Multiply: \[ 16 - 1 \]

6. Finally, subtract: \[ 16 - 1 = 15 \]

So, the value of the expression \(2(1.6^0 + 7) - 4.9^0\) is 15.

Answer 6

Which of the following is developed to result in the answer of 1?
Responses

13−(7.42)^0
13 minus left parenthesis 7.42 right parenthesis superscript 0 baseline

(−2.97)^0
left parenthesis negative 2.97 right parenthesis superscript 0 baseline

5^0+9^0
5 superscript 0 baseline plus 9 superscript 0 baseline

3(8^0)

Answer 7

To determine which option results in the answer of 1, we will evaluate each expression one by one.

1. 13 - (7.42)^0

   • Calculate \((7.42)^0\). According to the zero power rule, any non-zero number raised to the power of zero equals 1.
   • Thus, \((7.42)^0 = 1\).
   • Substitute back into the expression: \[ 13 - 1 = 12 \]

2. (−2.97)^0

   • Again, using the zero power rule, \((-2.97)^0 = 1\).
   • So, this expression equals 1.

3. 5^0 + 9^0

   • Calculate each term:
     • \(5^0 = 1\)
     • \(9^0 = 1\)
   • Therefore: \[ 1 + 1 = 2 \]

4. 3(8^0)

   • Calculate \(8^0\):
     • \(8^0 = 1\)
   • Now substitute back into the expression: \[ 3(1) = 3 \]

After evaluating each expression, the only one that results in 1 is:

(−2.97)^0.