Math / Algebra

Question(12) $m^{3}+9 n$ when $m=4$ and $n=5$

Studdy Solution

STEP 1

What is this asking? We need to find the value of the expression $m^3 + 9n$ when $m$ is 4 and $n$ is 5. Watch out! Don't forget to do the exponent before the multiplication and addition!
Order of operations is key!

STEP 2

1. Substitute the values
2. Calculate the exponent
3. Calculate the multiplication
4. Calculate the sum

STEP 3

Let's kick things off by plugging in our given values for $m$ and $n$ into our expression!
Remember, $m$ is 4 and $n$ is 5.
So, $m^3 + 9n$ becomes $(4)^3 + 9 \cdot (5)$ .

STEP 4

Now, let's tackle that exponent! $4^3$ means $4$ multiplied by itself three times: $4 \cdot 4 \cdot 4$ .

STEP 5

$4 \cdot 4$ is 16.
Then, $16 \cdot 4$ gives us 64.
So, $(4)^3$ is 64!
Our expression now looks like this: $64 + 9 \cdot (5)$ .

STEP 6

Next up, we'll conquer the multiplication!
We have $9 \cdot 5$ , which equals 45.
Our expression is now $64 + 45$ .

STEP 7

Finally, let's wrap this up with some addition! $64 + 45$ gives us a grand total of 109!

STEP 8

So, the value of the expression $m^3 + 9n$ when $m = 4$ and $n = 5$ is 109!

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Question(12) $m^{3}+9 n$ when $m=4$ and $n=5$

Studdy Solution

STEP 1

What is this asking? We need to find the value of the expression $m^3 + 9n$ when $m$ is 4 and $n$ is 5. Watch out! Don't forget to do the exponent before the multiplication and addition!
Order of operations is key!

STEP 2

1. Substitute the values
2. Calculate the exponent
3. Calculate the multiplication
4. Calculate the sum

STEP 3

Let's kick things off by plugging in our given values for $m$ and $n$ into our expression!
Remember, $m$ is 4 and $n$ is 5.
So, $m^3 + 9n$ becomes $(4)^3 + 9 \cdot (5)$ .

STEP 4

Now, let's tackle that exponent! $4^3$ means $4$ multiplied by itself three times: $4 \cdot 4 \cdot 4$ .

STEP 5

$4 \cdot 4$ is 16.
Then, $16 \cdot 4$ gives us 64.
So, $(4)^3$ is 64!
Our expression now looks like this: $64 + 9 \cdot (5)$ .

STEP 6

Next up, we'll conquer the multiplication!
We have $9 \cdot 5$ , which equals 45.
Our expression is now $64 + 45$ .

STEP 7

Finally, let's wrap this up with some addition! $64 + 45$ gives us a grand total of 109!

STEP 8

So, the value of the expression $m^3 + 9n$ when $m = 4$ and $n = 5$ is 109!

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Question(12) m3+9nm^{3}+9 nm3+9n when m=4m=4m=4 and n=5n=5n=5

Studdy Solution

STEP 1

What is this asking? We need to find the value of the expression m3+9nm^3 + 9nm3+9n when mmm is **4** and nnn is **5**. Watch out! Don't forget to do the exponent before the multiplication and addition!Order of operations is key!

STEP 2

1. Substitute the values2. Calculate the exponent3. Calculate the multiplication4. Calculate the sum

STEP 3

Let's **kick things off** by plugging in our given values for mmm and nnn into our expression!Remember, mmm is **4** and nnn is **5**.So, m3+9nm^3 + 9nm3+9n becomes (4)3+9⋅(5)(4)^3 + 9 \cdot (5)(4)3+9⋅(5).

STEP 4

Now, let's **tackle that exponent**! 434^343 means 444 multiplied by itself three times: 4⋅4⋅44 \cdot 4 \cdot 44⋅4⋅4.

STEP 5

4⋅44 \cdot 44⋅4 is **16**.Then, 16⋅416 \cdot 416⋅4 gives us **64**.So, (4)3(4)^3(4)3 is **64**!Our expression now looks like this: 64+9⋅(5)64 + 9 \cdot (5)64+9⋅(5).

STEP 6

Next up, we'll **conquer the multiplication**!We have 9⋅59 \cdot 59⋅5, which equals **45**.Our expression is now 64+4564 + 4564+45.

STEP 7

Finally, let's **wrap this up** with some addition! 64+4564 + 4564+45 gives us a **grand total of 109**!

STEP 8

So, the value of the expression m3+9nm^3 + 9nm3+9n when m=4m = 4m=4 and n=5n = 5n=5 is **109**!

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Question(12) $m^{3}+9 n$ when $m=4$ and $n=5$

What is this asking? We need to find the value of the expression $m^3 + 9n$ when $m$ is 4 and $n$ is 5. Watch out! Don't forget to do the exponent before the multiplication and addition!
Order of operations is key!

1. Substitute the values
2. Calculate the exponent
3. Calculate the multiplication
4. Calculate the sum

Let's kick things off by plugging in our given values for $m$ and $n$ into our expression!
Remember, $m$ is 4 and $n$ is 5.
So, $m^3 + 9n$ becomes $(4)^3 + 9 \cdot (5)$ .

Now, let's tackle that exponent! $4^3$ means $4$ multiplied by itself three times: $4 \cdot 4 \cdot 4$ .

$4 \cdot 4$ is 16.
Then, $16 \cdot 4$ gives us 64.
So, $(4)^3$ is 64!
Our expression now looks like this: $64 + 9 \cdot (5)$ .

Next up, we'll conquer the multiplication!
We have $9 \cdot 5$ , which equals 45.
Our expression is now $64 + 45$ .

Finally, let's wrap this up with some addition! $64 + 45$ gives us a grand total of 109!

So, the value of the expression $m^3 + 9n$ when $m = 4$ and $n = 5$ is 109!