one exponent speak you how countless times the basic number is offered as a factor. A base of 5 raised come the 2nd power is dubbed "five squared" and means "five time five." five raised to the 3rd power is dubbed "five cubed" and means "five times 5 times five." The base can be any sort the number--a entirety number, a decimal number, or a fraction can all be raised to a power.

Here space some simple rules to use v exponents.

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a1 = a any type of number increased to the power of one equals the number itself. For any kind of number a, except 0, a0 = 1 any number increased to the power of zero, except zero, amounts to one. For any kind of numbers a, b, and also c, ab x ac = ab+c This multiplication preeminence tells united state that we can simply include the exponents once multiplying two powers through the same base.

ALERT! These space mistakes the students often make when taking care of exponents.

Mistake! execute not multiply the base and also the exponent. 26 is not equal to 12, it"s 64!

Mistake! The multiplication ascendancy only uses to expressions with the very same base. 4 squared times two cubed is no the exact same as 8 increased to the power 2 plus three.


Mistake! The multiplication rule applies just to the product, no to the sum of 2 numbers.


Scientific Notation What happens when you"re making use of a calculator and your prize is too lengthy to fit in the window? use a calculator come multiply these 2 numbers:

60,000,000,000,000 x 20,000,000,000 You"ll uncover a short means of writing very long numbers. This is dubbed scientific notation, or E notation on a calculator ("E" means "Exponent"). A number written in clinical notation is composed as a product of a number in between 1 and 10 and a strength of 10.

For example, to compose 127,680,000 in clinical notation, change the number to a number in between 1 and 10 by relocating the decimal allude 8 locations to the left.

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Then multiply through 10 elevated to the power of the variety of places you had to move the decimal point--that is, 108:

127,680,000 = 1.2768 x 108 On your calculator window, the basic of 10 is not shown; the E method "10 elevated to the following power."

Examples 7 x 7 x 7 x 7 = ? 74 2 x 2 x 2 x 2 x 2 x 2 = ? 26 110 = 1 53 = 5 x 5 x 5 = 125

Write the adhering to numbers in scientific notation. 565,000 =5.65 x 105 7,325,000 =7.325 x 106 91,247,000,000 =9.1247 x 1010

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Homework aid | Pre-Algebra | Numbers
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·Place value
·Decimal numbers
·Estimating and rounding
·Adding / subtracting decimals
·Multiplying decimals
·Dividing decimals
·Square roots
·Signed integers
·Adding and also subtracting integers
·Multiplying and also splitting integers
·Properties the integers