Math / Algebra

QuestionWrite the expression as a fraction with a positive exponent. $m^{-6}$

Studdy Solution

STEP 1

What is this asking? Rewrite the expression $m^{-6}$ so that it's a fraction and the exponent is positive. Watch out! Remember that a negative exponent doesn't make the number negative, it flips it into a fraction!

STEP 2

1. Flip It!
2. Celebrate!

STEP 3

Alright, so we've got $m^{-6}$ .
A negative exponent means "reciprocal!" It's like flipping a pancake – it doesn't change the pancake itself, just its orientation!

STEP 4

So, to make the exponent positive, we're gonna flip $m^{-6}$ into a fraction.
We can rewrite $m^{-6}$ as $\frac{m^{-6}}{1}$ .
Remember, any number can be written as a fraction by putting it over 1!

STEP 5

Now, flip it!
The reciprocal of $\frac{m^{-6}}{1}$ is $\frac{1}{m^{-6}}$ .

STEP 6

When we move a term with an exponent across the fraction bar, the exponent changes its sign.
So, to get rid of that pesky negative exponent, we're going to move $m^{-6}$ from the denominator to the numerator.
When we do that, the exponent becomes positive!
Boom! We get $\frac{1}{m^{-6}} = \frac{m^6}{1}$ .

STEP 7

And, anything divided by 1 is just itself.
So, our final expression is $m^6$ .

STEP 8

We did it!
We flipped that fraction and turned that negative exponent into a positive one!
High five!

STEP 9

Our final answer is $m^6$ .

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QuestionWrite the expression as a fraction with a positive exponent. $m^{-6}$

Studdy Solution

STEP 1

What is this asking? Rewrite the expression $m^{-6}$ so that it's a fraction and the exponent is positive. Watch out! Remember that a negative exponent doesn't make the number negative, it flips it into a fraction!

STEP 2

1. Flip It!
2. Celebrate!

STEP 3

Alright, so we've got $m^{-6}$ .
A negative exponent means "reciprocal!" It's like flipping a pancake – it doesn't change the pancake itself, just its orientation!

STEP 4

So, to make the exponent positive, we're gonna flip $m^{-6}$ into a fraction.
We can rewrite $m^{-6}$ as $\frac{m^{-6}}{1}$ .
Remember, any number can be written as a fraction by putting it over 1!

STEP 5

Now, flip it!
The reciprocal of $\frac{m^{-6}}{1}$ is $\frac{1}{m^{-6}}$ .

STEP 6

STEP 7

And, anything divided by 1 is just itself.
So, our final expression is $m^6$ .

STEP 8

We did it!
We flipped that fraction and turned that negative exponent into a positive one!
High five!

STEP 9

Our final answer is $m^6$ .

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QuestionWrite the expression as a fraction with a positive exponent. m−6m^{-6}m−6

Studdy Solution

STEP 1

What is this asking? Rewrite the expression m−6m^{-6}m−6 so that it's a fraction and the exponent is positive. Watch out! Remember that a negative exponent doesn't make the number negative, it flips it into a fraction!

STEP 2

1. Flip It!2. Celebrate!

STEP 3

Alright, so we've got m−6m^{-6}m−6.A negative exponent means "**reciprocal!**" It's like flipping a pancake – it doesn't change the pancake itself, just its orientation!

STEP 4

So, to make the exponent positive, we're gonna flip m−6m^{-6}m−6 into a fraction.We can rewrite m−6m^{-6}m−6 as m−61\frac{m^{-6}}{1}1m−6​.Remember, *any* number can be written as a fraction by putting it over **1**!

STEP 5

Now, flip it!The reciprocal of m−61\frac{m^{-6}}{1}1m−6​ is 1m−6\frac{1}{m^{-6}}m−61​.

STEP 6

STEP 7

And, anything divided by **1** is just itself.So, our final expression is m6m^6m6.

STEP 8

We did it!We flipped that fraction and turned that negative exponent into a positive one!High five!

STEP 9

Our final answer is m6m^6m6.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionWrite the expression as a fraction with a positive exponent. $m^{-6}$

What is this asking? Rewrite the expression $m^{-6}$ so that it's a fraction and the exponent is positive. Watch out! Remember that a negative exponent doesn't make the number negative, it flips it into a fraction!

1. Flip It!
2. Celebrate!

Alright, so we've got $m^{-6}$ .
A negative exponent means "reciprocal!" It's like flipping a pancake – it doesn't change the pancake itself, just its orientation!

So, to make the exponent positive, we're gonna flip $m^{-6}$ into a fraction.
We can rewrite $m^{-6}$ as $\frac{m^{-6}}{1}$ .
Remember, any number can be written as a fraction by putting it over 1!

Now, flip it!
The reciprocal of $\frac{m^{-6}}{1}$ is $\frac{1}{m^{-6}}$ .

And, anything divided by 1 is just itself.
So, our final expression is $m^6$ .

We did it!
We flipped that fraction and turned that negative exponent into a positive one!
High five!

Our final answer is $m^6$ .