Solve a³ × a⁴: Product Rule of Exponents Step-by-Step

Question

$a^3\times a^4=$

00:00 Simply

00:03 When multiplying powers with equal bases

00:06 The power of the result equals the sum of the powers

00:09 We'll use this formula in our exercise, and add the powers

Here, we will need to calculate a multiplication between terms with identical bases, therefore we will use the appropriate power property:

$b^m\cdot b^n=b^{m+n}$ Note that this property can only be used to calculate the multiplication between terms with identical bases,

We apply it to the problem:

$a^3\cdot a^4=a^{3+4}=a^7$ Therefore, the correct answer is option b.

$a^7$