Write about everything you know about exponents and give examples. I have listed the prescribed learning outcomes as a guide.
1) Represent repeated multiplication with exponents
Repeated multiplication is simply multiplication repeated.
Example: 2x2x2x2 = 2 to the power of 4
2) Describe how powers represent repeated multiplication
Powers demonstrate repeated multiplication because it shows how many times the number is multiplied.
3) Demonstrate the difference between the exponent and the base by building models of a given power, such as 23 and 32.
The exponent is how many times the number is being multiplied and the base is the number being multiplied.
4) Demonstrate the difference between two given powers in which the exponent and the base
are interchanged by using repeated multiplication, such as 23 and 32 .
Don’t understand question.
5) Evaluate powers with integral bases (excluding base 0) and whole number exponents.
An even amount exponent(ie 2 or 4) will make the answer positive and it if it’s an odd amount exponent it will be negative.
(-2) to power of 4 = 16
6) Explain the role of parentheses in powers.
(-2) to power of 4 =16 when -2 to power of 4 =-16
7) Explain the exponent laws for multiplying and dividing powers with the same base.
If you look in my other post there are the rules.
8) Explain the exponent laws for raising a product and quotient to an exponent.
For example 4 can be 2 squared because 2 is the square root of 4.
9) Explain the law for powers with an exponent of zero.
The answer is always 1.
10) Use patterns to show that a power with an exponent of zero is equal to one.
11) I can apply the laws of exponents.
12) I can identify the error in a simplification of an expression involving powers.
13) Use the order of operations on expressions with powers.
Along with BEDMAS where exponent is the ‘e’ after brackets.
14) Determine the sum and difference of two powers.
15) Identify the error in applying the order of operations in an incorrect solution.
16) Use powers to solve problems (measurement problems)
17) Use powers to solve problems (growth problems)
18) Solve problems by applying the order of operations.