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Evaluate the expression for the given replacement value.

[tex]\[ 2x^3 \text{ where } x = 5 \][/tex]

If [tex]\( x = 5 \)[/tex], then [tex]\( 2x^3 = \boxed{\phantom{} \)[/tex] (Simplify your answer.)

Sagot :

GinnyAnsweridn
Sure, let's solve the given expression step-by-step.

Given:
[tex]\[ 2x^3 \][/tex]

We need to evaluate this expression when [tex]\( x = 5 \)[/tex].

1. Substitute [tex]\( x = 5 \)[/tex] into the expression:
[tex]\[ 2 (5)^3 \][/tex]

2. Calculate [tex]\( 5^3 \)[/tex]. This means multiplying 5 by itself three times:
[tex]\[ 5 \times 5 \times 5 = 125 \][/tex]

3. Now, multiply 2 by the result of [tex]\( 5^3 \)[/tex]:
[tex]\[ 2 \times 125 \][/tex]

4. Perform the multiplication:
[tex]\[ 2 \times 125 = 250 \][/tex]

So, if [tex]\( x = 5 \)[/tex], then [tex]\( 2 x^3 = 250 \)[/tex].

Therefore,
[tex]\[ 2 x^3 = 250 \][/tex]

when [tex]\( x = 5 \)[/tex].
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