Simplify b⁴ × b⁵: Exponent Multiplication Practice

Question

Reduce the following equation:

$b^4\times b^5=$

00:00 Simplify the following problem

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

00:06 equals the same base raised to the sum of the exponents (N+M)

00:09 We will apply this formula to our exercise

00:12 We'll maintain the base and add the exponents together

00:16 This is the solution

To solve this problem, we need to simplify the expression using the rules of exponents:

Step 1: Recognize the base $b$ is the same for both terms in the multiplication.
Step 2: Apply the exponent multiplication rule: add the exponents of like bases. Thus, $b^4 \times b^5 = b^{4+5}$ .

The correct answer to the problem is $b^{4+5}$ .

$b^{4+5}$