Use our handy & instant online simplifying exponents calculator and get the exact answer after simplifying the two exponents' expressions. All you have to do is provide the input exponent expression and then click on the calculate button to display the concerned output in no time.
Ex: 25^4 + 6^3 (or) 45^5 - 36^3 (or) 25^4 * 24^3
Here are some samples of Simplify Exponents calculations.
Simplifying Exponents Calculator:Are you struggling to simplify the addition, subtraction, multiplication, division between two large exponent numbers? Then, here is the best way for you. Utilize our simple and easy to use simplifying exponents calculator and finish your lengthy calculations at a faster pace. Refer to the below sections and find more details like what it is & how to simplify complicated exponents clearly.
An exponent refers to the number of times a number is multiplied by itself. In mathematics, Exponentiation is one of the used math operations written as 'a' is base and 'n' is an exponent. The formula for exponent a^{n} = a x a x a x a...x a n times.
It is easy to find an exponent solution for a given small integer or fraction. But it is really hard to calculate the large exponents by hand so use our free online simplifying exponent calculator and easily get the result for the simplification of two large exponents' expressions.
First, consider the given large exponent operation like 56²*67³ (for example). Now take the first exponent number and simplify the result of it by multiplying the base itself in given n times. After that, consider the second number in the given exponent operation and calculate it in the same way. After resulting the answer for both large exponents. Simplify the math operation ie., on multiplying the two large exponents, we will get the final output.
If you want to simplify normal exponents expression without performing any addition, subtraction, multiplication, etc. then go with our site onlinecalculator.guru and tap on the Exponent Calculator link to get the accurate results.
Laws of Exponents
Exponents Rules
Rule Name | Rule | Example |
---|---|---|
Product rules | a^{n} ⋅ a^{m} = a ^{n+m} | 2^{3} ⋅ 2^{4} = 2^{3+4} = 128 |
a ^{n} ⋅ b ^{n} = (a ⋅ b)^{n} | 3^{2} ⋅ 4^{2} = (3⋅4)^{2} = 144 | |
Quotient rules | a^{n} / a^{m} = a^{n-m} | 2^{5} / 2^{3} = 2^{5-3} = 4 |
a^{n} / b^{n} = (a / b)^{n} | 4^{3} / 2^{3} = (4 / 2)^{3} = 8 | |
Power rules | (b^{n})^{m} = b^{n⋅m} | (2^{3})^{2} = 2^{3⋅2} = 64 |
b^{nm} = b(^{nm}) | 2^{32} = 2(^{32}) = 512 | |
^{m}√(b^{n}) = b ^{n/m} | ^{2}√(2^{6}) = 2^{6/2} = 8 | |
b^{1/n} = ^{n}√b | 8^{1/3} = ^{3}√8 = 2 | |
Negative exponents | b^{-n} = 1 / b^{n} | 2^{-3} = 1 / 2^{3} = 0.125 |
Zero rules | b^{0} = 1 | 5^{0} = 1 |
0^{n} = 0 , for n>0 | 0^{5} = 0 | |
One rules | b^{1} = b | 5^{1} = 5 |
1^{n} = 1 | 1^{5} = 1 | |
Minus one rule | (-1)^{n} = {_{-1, n odd}^{1, n even} | (-1)^{5} = -1 |
Derivative rule | (xn)' = n⋅x^{n-1} | (x3)' = 3⋅x^{3-1} |
Integral rule | ∫ x^{n}dx = x^{n+1}/(n+1)+C | ∫ x^{2}dx = x^{2+1}/(2+1)+C |
1. How do you simplify large exponent operations on a calculator?
You can simplify the Large Exponents operation on a calculator by just giving the input in the input field of the calculator and click on the calculate button.
2. What is an Exponent?
Exponent is a way to represent how many times a number known as the base is multiplied by itself.
3. Simplify 4^2 + 3^7?
Use our Simplifying Exponents Calculator and enter the given 4^2 + 3^7 math operation in the input field and then press the enter button on your keyboard to find the exact result in less time.
4. What is the result of 45^3-56^2?
45^3 = 45x45x45 = 91125
56^2 = 56x56 = 3136
Subtract both results to find the simplification of 45^3-56^2 exponents,
On calculating the difference between both numbers 91125 and 3136, we get the value, 87989.
Therefore, the result of 45^3-56^2 is 87989.