HW Properties of Exponents

Last updated about 3 years ago

47 Nsɛmmisa

The next topic we are learning involves exponents! Let's see how much you remember...

Negative exponents tell you to flip the base. You can never have a negative exponent in your answer. If you do, flip it to the denominator to make it positive!

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Type in all answers as whole numbers or fractions. No decimals!

Here's an example similar to #12:

Here's an example similar to #41:

Example similar to #46:

Below are all the exponent rules you re-learned today.

Copy these down in your notes!

HW Properties of Exponents

Last updated about 3 years ago

47 Nsɛmmisa

The next topic we are learning involves exponents! Let's see how much you remember...

They are being divided by 2

They are being added by 2

They are being subtracted by 2

Analyze the powers with a base of 3. As the exponent decreases by 1, the numbers on the right are being divided by

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According to this pattern, what do you think 3^0 equals?

3^4 = 81

3^3 = 27

3^2 = 9

3^1 = 3

3^0 =

According to this pattern, what do you think 5^0 equals?

5^4 = 625

5^3 = 125

5^2 = 25

5^1 = 5

5^0 =

65^0 =

Any number to the zero power will always equal .

Let's keep this pattern going. Now that we know 4^0 = 1 what do you think 4^-1 = ?

4^4 = 256

4^3 = 64

4^2 = 16

4^1 = 4

4^0 = 1

4^-1 =

What do you think 5^-1 equals?
5^4 = 625
5^3 = 125
5^2 = 25
5^1 = 5
5^0 = 1
5^-1 =

Negative exponents tell you to flip the base. You can never have a negative exponent in your answer. If you do, flip it to the denominator to make it positive!

null

Type in all answers as whole numbers or fractions. No decimals!

2^0=

12^-1=

Here's an example similar to #12:

3^-2=
_{Simplify completely. Your answer should not have exponents.}

4^-2=
_{Simplify completely. Your answer should not have exponents.}

(-7)^0=

0^6=

_{*Hint: flip the fraction to make the exponent positive. Then evaluate.}

_Hint:
_{Fraction answers only, no decimals!}

Hint:

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Let's expand and look for a shortcut:

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How many 2's are underlined?

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Let's expand and look for a shortcut:

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How many x's are underlined?

Therefore, we can say,

_{Hint: The second y has an invisible exponent of 1}

What's the rule?

x^ab

x^a+b

x^a-b

Example similar to #33:

Notice how we still multiply the coefficients (3 x 2) but add the exponents.

Now you try!

Let's expand and look for a shortcut:

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How many 2's are underlined?

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Let's expand and look for a shortcut:

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How many x's are underlined?

Therefore, we can say:

_{Hint: z has an invisible exponent of 1}

What's the rule?

Here's an example similar to #41:

Now you try!

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Therefore, according to the last example we can say:

So when we divide by the same base we the exponents.

What's the rule?

Example similar to #46:

Now you try!

Example similar to #47:

Notice how we still divide the coefficients (15 / 5) but subtract the exponents.

Now you try!

Below are all the exponent rules you re-learned today.

Copy these down in your notes!

HW Properties of Exponents

The next topic we are learning involves exponents! Let's see how much you remember...

Negative exponents tell you to flip the base. You can never have a negative exponent in your answer. If you do, flip it to the denominator to make it positive!

Type in all answers as whole numbers or fractions. No decimals!

Below are all the exponent rules you re-learned today.

Copy these down in your notes!

HW Properties of Exponents

The next topic we are learning involves exponents! Let's see how much you remember...

65^0 =

What do you think 5^-1 equals? 5^4 = 6255^3 = 1255^2 = 255^1 = 55^0 = 15^-1 =

Negative exponents tell you to flip the base. You can never have a negative exponent in your answer. If you do, flip it to the denominator to make it positive!

Type in all answers as whole numbers or fractions. No decimals!

2^0=

12^-1=

3^-2=Simplify completely. Your answer should not have exponents.

4^-2=Simplify completely. Your answer should not have exponents.

(-7)^0=

0^6=

*Hint: flip the fraction to make the exponent positive. Then evaluate.

Hint:Fraction answers only, no decimals!

Hint:

Therefore, we can say,

Hint: The second y has an invisible exponent of 1

What's the rule?

Now you try!

Therefore, we can say:

Hint: z has an invisible exponent of 1

What's the rule?

Now you try!

What's the rule?

Now you try!

Now you try!

Below are all the exponent rules you re-learned today.

Copy these down in your notes!

65^0 =

What do you think 5^-1 equals? 5^4 = 6255^3 = 1255^2 = 255^1 = 55^0 = 15^-1 =

2^0=

12^-1=

3^-2=Simplify completely. Your answer should not have exponents.

4^-2=Simplify completely. Your answer should not have exponents.

(-7)^0=

0^6=

*Hint: flip the fraction to make the exponent positive. Then evaluate.

Hint:Fraction answers only, no decimals!

Hint:

Therefore, we can say,

Hint: The second y has an invisible exponent of 1

What's the rule?

Now you try!

Therefore, we can say:

Hint: z has an invisible exponent of 1

What's the rule?

Now you try!

What's the rule?

Now you try!

Now you try!

What do you think 5^-1 equals?
5^4 = 625
5^3 = 125
5^2 = 25
5^1 = 5
5^0 = 1
5^-1 =

3^-2=
_{Simplify completely. Your answer should not have exponents.}

4^-2=
_{Simplify completely. Your answer should not have exponents.}

_{*Hint: flip the fraction to make the exponent positive. Then evaluate.}

_Hint:
_{Fraction answers only, no decimals!}

_{Hint: The second y has an invisible exponent of 1}

_{Hint: z has an invisible exponent of 1}

What do you think 5^-1 equals?
5^4 = 625
5^3 = 125
5^2 = 25
5^1 = 5
5^0 = 1
5^-1 =

3^-2=
_{Simplify completely. Your answer should not have exponents.}

4^-2=
_{Simplify completely. Your answer should not have exponents.}

_{*Hint: flip the fraction to make the exponent positive. Then evaluate.}

_Hint:
_{Fraction answers only, no decimals!}

_{Hint: The second y has an invisible exponent of 1}

_{Hint: z has an invisible exponent of 1}