What is the value of 6.9−20?(1 point)Responses4.94.96.96.97.97.95.9

Answer 1

To calculate \( 6.9 - 20 \):

\[ 6.9 - 20 = -13.1 \]

It appears none of the provided response options include -13.1. Could you please check the options again?

Answer 2

Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−270) .(2 points)9⋅(−33)0+32(8−270) = ⋅ +32( – )

Answer 3

According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. This can be applied to the term \((-33)^0\).

Let's simplify the expression step by step:

1. Identify the term: \[ (-33)^0 \] According to the Zero Power Rule: \[ (-33)^0 = 1 \]

2. Replace the term: \[ 9 \cdot (-33)^0 + 32(8 - 270) \] becomes: \[ 9 \cdot 1 + 32(8 - 270) \]

3. Thus, the expression simplifies to: \[ 9 + 32(8 - 270) \]

In conclusion, the equivalent expression is: \[ 9 + 32(8 - 270) \]

You can further evaluate or simplify \(32(8 - 270)\) if required. The simplified expression you provided is: \[ 9 \cdot 1 + 32(8 - 270) \] or \[ 9 + 32(8 - 270) \]

Feel free to ask if you need further assistance!

Answer 4

Solve the expression 15⋅805+4(70−6) .(1 point)15⋅805+4(70−6)=

Answer 5

Let's solve the expression step by step:

The given expression is:

\[ 15 \cdot 805 + 4(70 - 6) \]

1. Calculate \(70 - 6\): \[ 70 - 6 = 64 \]

2. Substitute back into the expression: \[ 15 \cdot 805 + 4(64) \]

3. Calculate \(4 \cdot 64\): \[ 4 \cdot 64 = 256 \]

4. Now the expression is: \[ 15 \cdot 805 + 256 \]

5. Calculate \(15 \cdot 805\): \[ 15 \cdot 805 = 12075 \]

6. Finally, add the two results together: \[ 12075 + 256 = 12331 \]

Therefore, the value of \(15 \cdot 805 + 4(70 - 6)\) is:

\[ \boxed{12331} \]

Answer 6

Use the Power Rule of Exponents to simplify (103)6 .(1 point)

Answer 7

The Power Rule of Exponents states that \((a^m)^n = a^{m \cdot n}\).

Given the expression \((10^3)^6\), we can apply the Power Rule as follows:

\[ (10^3)^6 = 10^{3 \cdot 6} = 10^{18} \]

Thus, the simplified form of \((10^3)^6\) is:

\[ \boxed{10^{18}} \]

Answer 8

f the expression 715 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?(1 point)Responses(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis(718)3left parenthesis 7 superscript 18 baseline right parenthesis cubed(710)5left parenthesis 7 superscript 10 baseline right parenthesis superscript 5 baseline(7⋅7⋅7⋅7⋅7)10

Answer 9

To simplify \( 7^{15} \) using the Power Rule of Exponents, we need to identify an equivalent expression in expanded form.

The expression \( 7^{15} \) means \( 7 \) multiplied by itself 15 times. So we can write it as:

\[ 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \]

Now let's review the answer choices you provided:

1. (7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)
   This is equivalent to \( (7^3)^5 = 7^{15} \), since \( 7^3 \) repeated 5 times gives 15.

2. \( (7^{18})^3 \)
   This simplifies to \( 7^{54} \), which is not equivalent to \( 7^{15} \).

3. \( (7^{10})^5 \)
   This simplifies to \( 7^{50} \), which is not equivalent to \( 7^{15} \).

4. \( (7⋅7⋅7⋅7⋅7)^{10} \)
   This simplifies to \( 7^{50} \), which is not equivalent to \( 7^{15} \).

The first response is the correct expanded equivalent expression for \( 7^{15} \):

\[ (7 \cdot 7 \cdot 7) \cdot (7 \cdot 7 \cdot 7) \cdot (7 \cdot 7 \cdot 7) \cdot (7 \cdot 7 \cdot 7) \cdot (7 \cdot 7 \cdot 7) \]

Therefore, the answer is:

\[ \text{(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)} \]

Answer 10

Use the Power Rule of Exponents to create a simplified equivalent expression for (194)9 .(1 point)

Answer 11

To simplify the expression \((19^4)^9\) using the Power Rule of Exponents, we apply the rule which states that \((a^m)^n = a^{m \cdot n}\).

1. Starting with the expression: \[ (19^4)^9 \]

2. Apply the Power Rule: \[ (19^4)^9 = 19^{4 \cdot 9} \]

3. Calculate \(4 \cdot 9\): \[ 4 \cdot 9 = 36 \]

4. Therefore, the simplified equivalent expression is: \[ 19^{36} \]

Thus, the final answer is:

\[ \boxed{19^{36}} \]