Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 11, 2024

Evaluate the expression $3 \cdot 5^{x}$ when $x = 2$ .

STEP 1

Assumptions
1. The expression to evaluate is $3 \cdot 5^{x}$ .
2. The value of $x$ is 2.

STEP 2

Substitute the value of $x$ into the expression.
$3 \cdot 5^{x} = 3 \cdot 5^{2}$

STEP 3

Calculate the exponent part of the expression.
$5^{2} = 5 \cdot 5$

STEP 4

Complete the exponent calculation.
$5^{2} = 25$

STEP 5

Now, multiply the result of the exponentiation by 3.
$3 \cdot 5^{2} = 3 \cdot 25$

STEP 6

Complete the multiplication to find the value of the expression.
$3 \cdot 25 = 75$
The value of the expression $3 \cdot 5^{x}$ when $x$ is 2 is 75.

Was this helpful?

Start learning now

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

Contact Influencer program Policy Terms