What is the formula for product of powers?
To find a power of a product, find the power of each factor and then multiply. In general, (ab)m=am⋅bm. am⋅bm=(ab)m. In other words, you can keep the exponent the same and multiply the bases.
How do you simplify product of powers?
This leads to another rule for exponents—the Power Rule for Exponents. 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 are products and quotients?
PRODUCT – The product of two or more numbers is the result of multiplying these numbers. QUOTIENT – The quotient of two numbers is the result of the division of these numbers.
How do you express powers?
This expression can be written in a shorter way using something called exponents. An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent.
What is 16i equal to?
16i equals an amount to no other as it is majestic and formal. 16i equals nothing else than life it’s self…
What is 4 I equal to?
To determine the square root of a negative number (-16 for example), take the square root of the absolute value of the number (square root of 16 = 4) and then multiply it by ‘i’. So, the square root of -16 is 4i.
What is 2i in math?
2i is an imaginary number because it has the form ‘bi’ Remember, ‘i’ is the imaginary unit and is equal to the square root of -1. Even though ‘i’ is NOT a variable, we can multiply it as if it were. So i • i gives us i2.
Is 24i a real number?
Topics. The real part of 24i is 0.
Is a real number?
Real numbers are, in fact, pretty much any number that you can think of. This can include whole numbers or integers, fractions, rational numbers and irrational numbers. Real numbers can be positive or negative, and include the number zero. Another example of an imaginary number is infinity.
What does the i mean in algebra?
An imaginary number is one that when squared gives a negative result. With imaginary numbers, when you square them, the answer is negative. They are written like a real number, but with the letter i after them, like this: 23iThe letter i means it is an imaginary number.
What is the number I?
The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation x2 + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, using addition and multiplication.
What is the difference between real and imaginary numbers?
Imaginary numbers are distinguished from real numbers because a squared imaginary number produces a negative real number. Recall, when a positive real number is squared, the result is a positive real number and when a negative real number is squared, again, the result is a positive real number.