Simplify the Expression: x^8 × x^7 × x^10 Using Exponent Rules

Question

Reduce the following equation:

$x^8\times x^7\times x^{10}=$

00:00 Simplify the following problem

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

00:09 equals the same base raised to the sum of the exponents (N+M)

00:14 We will apply this formula to our exercise

00:17 We'll maintain the base and add the exponents together

00:42 This is the solution

To solve this problem, follow these steps:

Step 1: Identify the exponents in the expression $x^8 \times x^7 \times x^{10}$ . They are 8, 7, and 10.
Step 2: Apply the multiplication rule for exponents, which states $a^m \times a^n = a^{m+n}$ .
Here, it becomes: $x^8 \times x^7 \times x^{10} = x^{8+7+10}$ .
Step 3: Simplify the expression by adding the exponents together:

After performing the addition, $8 + 7 + 10 = 25$ .

Thus, the reduced form of the equation is $x^{25}$ .

Therefore, the final answer is $x^{25}$ .

$x^{25}$