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Give the example of Exponents?
When a number is multiplied several times, it is easier to write it as an exponent.For example, four multiplied to itself three times, is written four to the third power. (4x4x4) = 4343 is an example of an exponential expression.The bottom number, 4, is called the base number. The top number, 3, is called the exponent or power.43 is read "4 to the power of 3", "4 to the third power", or "4 to the third." Multiplying Exponential Expressions: When you are multiplying two or more exponential expressions, which have the same base, add the exponents.For example, four to the power of two times four to the power of three is four to the power of two plus three, which equals four to the power of five.The final answer is four multiplied to itself five times, 1024. The same rule goes for products of more than two exponential expressions. (151 x152x153) = 15 (1+2+3) = 156Dividing Exponential ExpressionsWhen you are dividing two exponential expressions, which have the same base, subtract the exponents. Subtract the bottom exponent from the top exponent.For example, fifteen to the power of three divided by fifteen to the power of two is fifteen to the power of three minus two. 153/152 = 15(3/2) = 151 = 15Raising an Exponential Expression to the nth powerWhen you want to raise an exponential expression to a power, simply multiply the exponents.For example, four to the second power raised to the third power equals four to the two times three power, which is four to the sixth power. (42)3 = 4(2x3) = 46The final answer is four multiplied to itself six times, which is 4096.
Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the
The Central Limit Theorem The theories was introduced by De Moivre and according to it; if we choose a large number of simple random samples, says from any population and find
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Determine if the following sequences are monotonic and/or bounded. (a) {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0
Assume that Y 1 (t) and Y 2 (t) are two solutions to (1) and y 1 (t) and y 2 (t) are a fundamental set of solutions to the associated homogeneous differential equation (2) so, Y
The base and corresponding altitude of a parallelogram are 10 cm and 12 cm reap. If the other altitude is 8 cm , find the length of the other pair of parallel side
understandin rates and unitrates
What is a set? Explain various methods to represent a set in set theory. Define the following with the help of suitable examples. (i) Singleton Set
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At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's bl
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