Simplify the Exponential Expression: 5^(2x) × 5^x

Question

Reduce the following equation:

$5^{2x}\times5^x=$

00:00 Simplify the following problem

00:03 According to the laws of exponents, the multiplication of powers with equal bases (A)

00:11 equals the same base raised to the sum of the exponents (N+M)

00:15 Let's apply this formula to our exercise

00:19 We'll maintain the base and add together the exponents

00:23 This is the solution

To reduce the expression $5^{2x} \times 5^x$ , we will use the exponent multiplication rule:

When multiplying powers with the same base, add the exponents:
Thus, $5^{2x} \times 5^x = 5^{2x + x}$ .

Hence, the correct choice is: $5^{2x + x}$ .

$5^{2x+x}$