Question Rewrite $1 \cdot 10 \cdot 10$ as a single power of 10.

Studdy Solution

STEP 1

Assumptions
1. We are working with powers of 10.
2. When multiplying powers of 10, we add the exponents.
3. When dividing powers of 10, we subtract the exponents.

STEP 2

First, we need to express the multiplication of $10$ by itself as a power of $10$ .
$1 \cdot 10 \cdot 10 = 10^{1} \cdot 10^{1}$

STEP 3

Now, we add the exponents since we are multiplying powers with the same base.
$10^{1} \cdot 10^{1} = 10^{1+1}$

STEP 4

Calculate the sum of the exponents.
$10^{1+1} = 10^{2}$

STEP 5

We have rewritten the expression $1 \cdot 10 \cdot 10$ as a single power of 10, which is $10^{2}$ .
The correct entry in the "Single Power" column of the table is $10^{2}$ .

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Question Rewrite $1 \cdot 10 \cdot 10$ as a single power of 10.

Studdy Solution

STEP 1

Assumptions
1. We are working with powers of 10.
2. When multiplying powers of 10, we add the exponents.
3. When dividing powers of 10, we subtract the exponents.

STEP 2

First, we need to express the multiplication of $10$ by itself as a power of $10$ .
$1 \cdot 10 \cdot 10 = 10^{1} \cdot 10^{1}$

STEP 3

Now, we add the exponents since we are multiplying powers with the same base.
$10^{1} \cdot 10^{1} = 10^{1+1}$

STEP 4

Calculate the sum of the exponents.
$10^{1+1} = 10^{2}$

STEP 5

We have rewritten the expression $1 \cdot 10 \cdot 10$ as a single power of 10, which is $10^{2}$ .
The correct entry in the "Single Power" column of the table is $10^{2}$ .

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Question Rewrite 1⋅10⋅101 \cdot 10 \cdot 101⋅10⋅10 as a single power of 10.

Studdy Solution

STEP 1

Assumptions1. We are working with powers of 10.2. When multiplying powers of 10, we add the exponents.3. When dividing powers of 10, we subtract the exponents.

STEP 2

First, we need to express the multiplication of 101010 by itself as a power of 101010.1⋅10⋅10=101⋅1011 \cdot 10 \cdot 10 = 10^{1} \cdot 10^{1}1⋅10⋅10=101⋅101

STEP 3

Now, we add the exponents since we are multiplying powers with the same base.101⋅101=101+110^{1} \cdot 10^{1} = 10^{1+1}101⋅101=101+1

STEP 4

Calculate the sum of the exponents.101+1=10210^{1+1} = 10^{2}101+1=102

STEP 5

We have rewritten the expression 1⋅10⋅101 \cdot 10 \cdot 101⋅10⋅10 as a single power of 10, which is 10210^{2}102.The correct entry in the "Single Power" column of the table is 10210^{2}102.

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Question Rewrite $1 \cdot 10 \cdot 10$ as a single power of 10.

Assumptions
1. We are working with powers of 10.
2. When multiplying powers of 10, we add the exponents.
3. When dividing powers of 10, we subtract the exponents.

First, we need to express the multiplication of $10$ by itself as a power of $10$ .
$1 \cdot 10 \cdot 10 = 10^{1} \cdot 10^{1}$

Now, we add the exponents since we are multiplying powers with the same base.
$10^{1} \cdot 10^{1} = 10^{1+1}$

Calculate the sum of the exponents.
$10^{1+1} = 10^{2}$

We have rewritten the expression $1 \cdot 10 \cdot 10$ as a single power of 10, which is $10^{2}$ .
The correct entry in the "Single Power" column of the table is $10^{2}$ .