Exponent Review – 10 learning outcomes – Nicholas T, Caitlin S, Tessa B

 

-Exponents are the same thing as repeated multiplication

(3)(3)(3)(3)(3)=(3)5

-3 is only multiplied by itself 2 times and 2 is multiplied by itself 3 times

(3)(3) and (2)(2)(2) = 32 and 23

-Explain the role of parenthesis in powers by evaluating a given set of powers

When the number and the negative sign are separated by brackets, the negative integer   is multiplied by itself.   

Eg. (-2)4 = (-2)(-2)(-2)(-2)

When the number and the negative sign are not separated by brackets, only the positive integer is times by itself, and the negative sign becomes the coefficient.

Eg. 24 = (-24) = -1*2*2*2*2

-Explain the law for powers with an exponent of 0

-23 = 8, 22 = 4, 21 = 2, and 20 = 1. All bases with an exponent of 0 always = 1.

-Use powers to solve measurement problems

They can be used to find the area of squares as all sides of a square are equal. For example if a square has a side length of 4, 4^2 is the area (4×4) This can also apply to cubes where the length, width, and height are equal. If the side length is equal to x, x^3 is the volume.

-Applying the law of exponents

When you multiply exponents by one another you just add the two values together.

Ex. 5^3 * 5^4 = 5^7

When you divide exponents by one another you just subtract the values.

Ex. 3^7 n* 3^6 = 3^13

When you raise an exponent to the power, you need to multiply the two values.

Ex. (9^3)^2 = 9^6