Simplify the Expression: b^9 × b^4 × b^5 Using Exponent Rules

Question

Reduce the following equation:

$b^9\times b^4\times b^5=$

00:00 Simplify the following problem

00:04 According to the laws of exponents, the multiplication of exponents with the same base (A)

00:07 equals the same base raised to the sum of the exponents (N+M)

00:11 We will apply this formula to our exercise

00:16 We'll maintain the base and add the exponents together

00:44 This is the solution

To reduce the equation $b^9 \times b^4 \times b^5$ , follow these steps:

Step 1: Identify the exponents present: $9$ , $4$ , and $5$ .
Step 2: Apply the exponent multiplication rule: Since the bases are the same, add the exponents: $9 + 4 + 5 = 18$ .
Step 3: Write the expression in its simplified form with the new exponent: $b^{18}$ .

Therefore, the simplified form of the expression is $b^{18}$ .

$b^{18}$