How do you simplify powers of powers?
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
What is 2 to the 3rd power simplified?
Answer: 2 raised to the third power is equal to 23 = 8. Explanation: 2 to the 3rd power can be written as 23 = 2 × 2 × 2, as 2 is multiplied by itself 3 times. Here, 2 is called the “base” and 3 is called the “exponent” or “power.”
What is 3 the second power?
3 to the second power can be written as 32 = 3 × 3, as 3 is multiplied by itself 2 times. Here, 3 is called the “base” and 2 is called the “exponent” or “power.” In general, xn means that x is multiplied by itself for n times. 3 × 3 = 32 = 9.
What is the 3rd power in math called?
In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3. The graph of the cube function is known as the cubic parabola.
How to simplify a power to an exponential term?
As with Legos, there are times when the exponential term has a third floor. This is called raising a power to a power and looks like this: These exponential terms can be simplified by writing them out like this, which can then be written as: which simplifies to 5^6 because there are six 5s being multiplied together.
How do you simplify the power of a power?
If the coefficients differ between the exponential terms, first multiply the coefficients together. Then, add together the exponents with a common base. Let’s look at an example. The power rule applies to exponents. To simplify a power of a power, you multiply the exponents, keeping the base the same. Let’s look at an example.
Is there rule for raising power to power?
Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them. Updated: 10/31/2019 I love Legos. There are so many options!