How to Solve Exponents With Brackets


Hi, my name is Marija, and today I'm gonna show you how to solve exponents with brackets. So, when you're using exponents, or parentheses, and you have an exponent inside and then outside, we're gonna use what's called power to power law. And, the power to power law says that you have to multiply the exponent by the other exponent that's it's being raised to. So, two to the third raised to the second would actually be two to the three, times two, so it would be two to the sixth power. And, the way that we can expand this to show you what this means is two to the third, to the second, means that I'm doing two to the third, twice, right? The exponent tells me how many times to multiply the base by itself. And, then, two to the third individually means that I'm doing two times two, times two. And, this two to the third means the same thing, two times two, times two. So, once I expand this, I realize there are one, two, three, four, five, six, twos. This is two being raised to the sixth power, which is the same answer that I got by using the power to power which said multiply the two exponents together. So, that is how you do exponents when you have brackets.

Marija Kero graduated from the Pforzheimer Honors College at Pace University with a Bachelor's Degree in Mathematics and Adolescent Education.