Math  /  Numbers & Operations

QuestionFind the value of the expression t×u2t \times u^{2} for t=5t=5 and u=2u=2. \square Submit

Studdy Solution

STEP 1

What is this asking? We need to substitute the given values of tt and uu into the expression tu2t \cdot u^{2} and calculate the result. Watch out! Make sure to square uu *before* multiplying by tt!
Order of operations is key here.

STEP 2

1. Substitute the values
2. Calculate the power
3. Calculate the product

STEP 3

Alright, let's **kick things off** by plugging in our given values for tt and uu.
We know that t=5t = 5 and u=2u = 2, so let's **replace** those variables in our expression tu2t \cdot u^2.
This gives us 5225 \cdot 2^2.
See? Not so scary!

STEP 4

Next up, we need to **tackle that exponent**.
Remember, 222^2 means 22 multiplied by itself, so 22=42 \cdot 2 = 4.
So, our expression becomes 545 \cdot 4.
We're almost there!

STEP 5

Finally, let's **wrap this up** by multiplying 55 and 44. 54=205 \cdot 4 = 20.
Boom!

STEP 6

So, the value of the expression tu2t \cdot u^2 when t=5t = 5 and u=2u = 2 is 20\bf{20}.

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