Loading…
Math Tutor's Solution: 45 to the Power of 52 is equal to 92693806362327086509796617599422237285524038346198327786851223208941519260406494140625
Methods
Step-by-step from math tutor: finding 45 to the power of 52
The first step a math tutor would suggest is to understand what it means when a number has an exponent. The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value.
The second step is to write the number in the base-exponent form, and lastly calculate what the final result would be. Consider the example of 2 to the power of 4: in exponent form that would be . To solve this, we need to multiply the base, 2 by itself, 4 times - = 16. So .
So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:
To simplify this, all that is needed is to multiply it out:
45 x 45 x 45 x 45 x ... (for a total of 52 times) = 92693806362327086509796617599422237285524038346198327786851223208941519260406494140625
Therefore, 45 to the power of 52 is 92693806362327086509796617599422237285524038346198327786851223208941519260406494140625.
Math Tutor Suggests: Try related exponent problems
Our math tutors suggest reviewing other exponent problems that you can practice with!
Download FREE Math Resources
Take advantage of our free downloadable resources and study materials for at-home learning.
8 Math Hacks and Tricks to Turn Your 'Okay' Math Student Into a Math Champion!
One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.
Get PDF
Math Tutoring to Boost Your Child’s Math Skills & Scores by 90% in Just 3 Months – Guaranteed!
Does your child struggle with math homework or understanding tricky math concepts? Do they do okay in math, but express excitement to learn new material or advanced math?
A Thinkster Math tutor provides one-to-one support to help elementary, middle school, and high school students build confidence and master math subjects like K-8 math, pre-algebra, algebra, geometry, calculus, and more.
Our expert math tutors customize math lessons to your child’s unique needs, making learning math fun and effective. We help students improve grades, develop strong critical thinking skills through solving word problems, excel in standardized tests, and develop strong problem-solving skills.
Our expert math tutors are ready to help make your child a champion and develop strong math mastery! Sign up for our 7-day free trial and get the best math tutor for your child today!
Start 7-Day Free Trial