one exponent tells you how numerous times the basic number is used as a factor. A base of 5 raised to the second power is called "five squared" and way "five time five." 5 raised come the 3rd power is dubbed "five cubed" and means "five times five times five." The base can be any sort the number--a totality number, a decimal number, or a portion can every be elevated to a power.

Here room some straightforward rules come use through exponents.

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a1 = a any type of number raised to the strength of one equates to the number itself. For any kind of number a, except 0, a0 = 1 any type of number raised to the power of zero, other than zero, amounts to one. For any kind of numbers a, b, and c, ab x ac = ab+c This multiplication preeminence tells united state that we have the right to simply add the exponents once multiplying 2 powers with the very same base.

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

Mistake! do not multiply the base and the exponent. 26 is no equal come 12, it"s 64!

Mistake! The multiplication ascendancy only applies to expressions through the very same base. 4 squared times 2 cubed is not the very same as 8 increased to the power two plus three. Mistake! The multiplication rule uses just to the product, not to the amount of two numbers. Scientific Notation What happens as soon as you"re utilizing a calculator and your answer is too lengthy to right in the window? usage a calculator to multiply this 2 numbers:

60,000,000,000,000 x 20,000,000,000 You"ll discover a short means of writing really long numbers. This is dubbed scientific notation, or E notation ~ above a calculator ("E" represents "Exponent"). A number written in clinical notation is written as a product of a number in between 1 and 10 and also a power of 10.

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

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Then multiply by 10 elevated to the strength of the variety of places you had actually to relocate the decimal point--that is, 108:

127,680,000 = 1.2768 x 108 On your calculator window, the base of 10 is not shown; the E way "10 elevated to the complying with 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 complying with numbers in clinical 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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