Multiply Powers with Same Base: Calculate 8²⋅8³⋅8⁵

Question

$8^2\cdot8^3\cdot8^5=$

00:06 Alright, let's keep things simple.

00:09 We'll use the formula for multiplying powers.

00:13 When you multiply A to the power of M with A to the power of N,

00:19 the result is A to the power of M plus N.

00:23 Let's apply this formula in our exercise.

00:27 We'll connect the powers step by step.

00:36 And there you have it, the solution to our problem!

All bases are equal and therefore the exponents can be added together.

$8^2\cdot8^3\cdot8^5=8^{10}$

$8^{10}$