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evaluate each expression. (2 \\cdot 5^{3} = 250) ((2 \\cdot 5)^{3} = \\)

Question

evaluate each expression.

(2 \cdot 5^{3} = 250)

((2 \cdot 5)^{3} = \\)

Explanation:

Identify the given expression

We need to evaluate the expression:

$$ (2 \cdot 5)^3 $$

Perform operation inside parentheses

First, evaluate the multiplication inside the parentheses.

$$ 2 \cdot 5 = 10 $$

Apply the exponent

Now, raise the result to the power of 3.

$$ 10^3 = 10 \cdot 10 \cdot 10 = 1000 $$

Answer:

Evaluate each expression.

\(2 \cdot 5^3 =\) <blank>250</blank>

\((2 \cdot 5)^3 =\) <blank>1000</blank>