![]() ![]() So in the expression xy 4, only the y is affected by the 4. ![]() The exponent applies only to the number that it is next to. The expression 10 3 is called the exponential expression.ġ0 3 is read as “10 to the third power” or “10 cubed.” It means 10 Ĩ 2 is read as “8 to the second power” or “8 squared.” It means 8 ĥ 4 is read as “5 to the fourth power.” It means 5 ī 5 is read as “ b to the fifth power.” It means b Solution: George received 7 × 10⁴ or 70,000 votesĬlearly, Melissa won the election.We use exponential notation to write repeated multiplication, such as 10 Raise this number to the power of 10 and multiply it to the original value. Solution: Place the decimal point 6.78120009 Count the digits after the decimal place. Example: Convert 678120009 into standard form. For instructional purposes the solution is expanded when the base x and exponent n. You can also calculate numbers to the power of large exponents less than 2000, negative exponents, and real numbers or decimals for exponents. Calculate the power of large base integers and real numbers. The total number of votes cast for each candidate is: Below, the steps are explained through an example. This is an online calculator for exponents. ![]() Solution: When multiplying the number by the power of 10, we move the decimal points to the right side.Įxample 3: George and Melissa are contending for the position of mayor. So, we can write the given number as 7th power of ten or 10 7.Įxample 2: Find the product of 5.65 × 10⁴. When using a base of 10, the exponent tells you how many times to multiply 10. Solution: There are 7 zeros in 10,000,000. Exponents are a way of simplifying the notation for repeated multiplication. Solved ExamplesĮxample 1: Write 10,000,000 as a power of 10. 10 to the power of 9 10 9 1,000,000,000 Why do we use exponentiations like 10 9 anyway Well, it makes it much easier for us to write multiplications and conduct mathematical operations with both large and small numbers when you are working with numbers with a lot of trailing zeroes or a lot of decimal places. For example, a small number like 0.00005 can be written as 5 × 10 -5. If the number is less than 1, then the exponent will be a negative number. Now, let us try to understand it the other way round. In case the number is greater than 1, then the exponent (in the scientific notation) is a positive number. Here, 10 is the base and 9 is the power and this is read as 10 to the ninth power. Top under-the-radar move: Signing quarterback Marcus Mariota This is an organization that won its only Super Bowl championship with backup Nick. For example, a large number like 50,000,000 can be represented as 5 × 10 7.Ī complicated number like 456,000 can be written as 456 × 10 3 or 4.56 × 10 5, which is a scientific notation.Ī scientific notation of a positive number is to express the number as the product of a number less than 10 and a power of 10. ![]() Remark The '' operator can be used instead of POWER to indicate to what power the base number is to be raised, such as in 52. The exponent to which the base number is raised. So, scientists use a notation where they write the number in terms of the power of 10. POWER (number, power) The POWER function syntax has the following arguments: Number Required. Such numbers can be troublesome to use in their original form. For example, if scientists have to send a spacecraft to the moon, it should travel at least 240,000 miles, which is the distance between Earth and the Moon. Scientists and engineers often encounter very big or small numbers. When the exponent is negative, the value is always less than 1.Īny number raised to the power 0 is one, and ten is no exception. The value is a decimal point followed by as many zeros as one less than the exponent and a 1. In general, we can write the value in decimals by observing the exponent. When the exponent is negative, we can apply the rules of exponent, x -a = 1/x a, and find the value.įor example, 10 -4 = 1/10 4 = 1/10000 = 0.0001 The number of zeros in the product is equal to the exponent. When the exponent is positive, we can write the power in the expanded form and find the product.įor example, 10 4 = 10 × 10 × 10 × 10 = 10,000. The exponent of a power of ten can be a positive or negative integer. The exponent of the power tells us how many times the number is multiplied to itself.įor example, when the exponent is 3, we multiply 10 by itself 3 times.ġ0 3 = 10 × 10 × 10, this is also called the expanded form of the power. Power of any number is an expression that represents repeated multiplication of the number. ![]()
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