exponential rules

jenny cerven

what is an exponent?

an exponent is a number that shows how many times that number ( the base) is multiplied by itself. an exponent is also known as a power. for example: 3^3 =3x3x3

adding exponents

when adding an exponent, you are multiplying the base and adding the powers together.

relatable vocabulary: sum

ie: 4^3 x 3^4= 12^7

dividing exponents

while dividing exponents you are dividing the bases, but subtracting the powers. if you end up with a negative exponent we must flip the numerator and denominator to make all numbers positive.

12^6/6^3 =2^3

multiplying

when multiplying exponents you're taking a power to a power- multiplying

relatable terms: product

ie: (4^3)^6= 4^18

subtracting exponents

when subtracting exponents you are dividing the base and subtracting the powers. It has the same concept of dividing exponents .

ie: 8^5/ 4^2 = 2^3

step by step- adding exponent example

3^2x 2^3

3x2=6 first multiply the bases

2+3=5 then add the exponents

6^5= simplify last equation

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