Solved on Sep 20, 2023

Express each number as a power: $36 = 6^2$ , $49 = 7^2$ , $81 = 3^4$ , $100 = 10^2$ .

STEP 1

Assumptions1. The numbers are36,81,49, and100. . We are asked to express each number as a power, which means we need to find a base and an exponent such that the base raised to the power of the exponent equals the number.

STEP 2

Let's start with the first number,36. We need to find a base and an exponent such that the base raised to the power of the exponent equals36.

STEP 3

We know that $6^2 =36$ . So, we can express36 as a power of6.
$36 =6^2$

STEP 4

Next, let's consider the number81. We need to find a base and an exponent such that the base raised to the power of the exponent equals81.

STEP 5

We know that $3^4 =81$ . So, we can express81 as a power of3.
$81 =3^4$

STEP 6

Now, let's consider the number49. We need to find a base and an exponent such that the base raised to the power of the exponent equals49.

STEP 7

We know that $7^2 =49$ . So, we can express49 as a power of7.
$49 =7^2$

STEP 8

Finally, let's consider the number100. We need to find a base and an exponent such that the base raised to the power of the exponent equals100.

STEP 9

We know that $^2 =100$ . So, we can express100 as a power of.
$100 =^2$ So, the numbers36,81,49, and100 can be expressed as powers as follows $36 =6^2$ $81 =3^4$ $49 =7^2$ $100 =^2$

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Express each number as a power: $36 = 6^2$ , $49 = 7^2$ , $81 = 3^4$ , $100 = 10^2$ .

STEP 1

Assumptions1. The numbers are36,81,49, and100. . We are asked to express each number as a power, which means we need to find a base and an exponent such that the base raised to the power of the exponent equals the number.

STEP 2

Let's start with the first number,36. We need to find a base and an exponent such that the base raised to the power of the exponent equals36.

STEP 3

We know that $6^2 =36$ . So, we can express36 as a power of6.
$36 =6^2$

STEP 4

Next, let's consider the number81. We need to find a base and an exponent such that the base raised to the power of the exponent equals81.

STEP 5

We know that $3^4 =81$ . So, we can express81 as a power of3.
$81 =3^4$

STEP 6

Now, let's consider the number49. We need to find a base and an exponent such that the base raised to the power of the exponent equals49.

STEP 7

We know that $7^2 =49$ . So, we can express49 as a power of7.
$49 =7^2$

STEP 8

Finally, let's consider the number100. We need to find a base and an exponent such that the base raised to the power of the exponent equals100.

STEP 9

We know that $^2 =100$ . So, we can express100 as a power of.
$100 =^2$ So, the numbers36,81,49, and100 can be expressed as powers as follows $36 =6^2$ $81 =3^4$ $49 =7^2$ $100 =^2$

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Express each number as a power: 36=6236 = 6^236=62, 49=7249 = 7^249=72, 81=3481 = 3^481=34, 100=102100 = 10^2100=102.

STEP 1

Assumptions1. The numbers are36,81,49, and100. . We are asked to express each number as a power, which means we need to find a base and an exponent such that the base raised to the power of the exponent equals the number.

STEP 2

Let's start with the first number,36. We need to find a base and an exponent such that the base raised to the power of the exponent equals36.

STEP 3

We know that 62=366^2 =3662=36. So, we can express36 as a power of6.36=6236 =6^236=62

STEP 4

Next, let's consider the number81. We need to find a base and an exponent such that the base raised to the power of the exponent equals81.

STEP 5

We know that 34=813^4 =8134=81. So, we can express81 as a power of3.81=3481 =3^481=34

STEP 6

Now, let's consider the number49. We need to find a base and an exponent such that the base raised to the power of the exponent equals49.

STEP 7

We know that 72=497^2 =4972=49. So, we can express49 as a power of7.49=7249 =7^249=72

STEP 8

Finally, let's consider the number100. We need to find a base and an exponent such that the base raised to the power of the exponent equals100.

STEP 9

We know that 2=100^2 =1002=100. So, we can express100 as a power of.100=2100 =^2100=2So, the numbers36,81,49, and100 can be expressed as powers as follows36=6236 =6^236=6281=3481 =3^481=3449=7249 =7^249=72100=2100 =^2100=2

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Express each number as a power: $36 = 6^2$ , $49 = 7^2$ , $81 = 3^4$ , $100 = 10^2$ .

We know that $6^2 =36$ . So, we can express36 as a power of6.
$36 =6^2$

We know that $3^4 =81$ . So, we can express81 as a power of3.
$81 =3^4$

We know that $7^2 =49$ . So, we can express49 as a power of7.
$49 =7^2$

We know that $^2 =100$ . So, we can express100 as a power of.
$100 =^2$ So, the numbers36,81,49, and100 can be expressed as powers as follows $36 =6^2$ $81 =3^4$ $49 =7^2$ $100 =^2$