1) What do you think about ROYAL’s ANSWERs to the questions below??
Choose three laws for exponents. Define each law and provide an example. Explain why we use exponents in scientific notation. Provide an example.
Write two problems containing exponents for your peers to simplify.
ROYAL’S ANSWERS:
What is Exponent?
An exponent, or what we all know as Power, is a number placed on the upper right of a number which we call the base and we multiply the base based on the value of the exponent. For example, 52 multiply the base 5 by itself two times.
Here are my chosen Laws of Exponents to discuss with.
- Product of Powers
When two numbers with the same base, add the exponents and keep the base the same. For example, 22× 23 = 25 Then multiply 2 by itself 5 times to get the answer. 25 = 2 × 2 × 2 × 2 × 2 = 32.
In other cases, if their numbers have different bases, multiply the base and add the exponents. - Quotient of Powers
When two numbers with the same base, subtract the exponents and keep the base the same. But, if two bases have different values, divide the base and subtract the exponents. For example, 76 ÷ 73 = ? Since this has the same base, we keep the base and subtract the exponent then multiply the base itself according to the value of the exponent. 73 = 7 × 7 × 7 = 343.
Another example is 69 ÷ 23 = ? Since this has a different base, we divide the bases and subtract the exponents. 69 ÷ 23 = 36 Then we multiply the base by itself six times. 3 × 3 × 3 × 3 × 3 × 3 = 729. - Power of a Power
A number raised by a power that is inside a parenthesis and is being raised by another power outside the parenthesis. Multiply the exponent from inside the parenthesis to the exponent from outside the parenthesis. For example, (52)3 = 56 then, multiply 5 by itself, six times to get the answer.
Simplify the problems
- 88 ÷ 24 = ?
- (123)6 = ?
2) What do you think about SESSION’s ANSWERs to the questions below??
Choose three laws for exponents. Define each law and provide an example. Explain why we use exponents in scientific notation. Provide an example.
Write two problems containing exponents for your peers to simplify.
SESSION’s ANSWERS:
What is Exponent?
The exponent is just an abbreviation for multiplying the same set of factors. Say we have 52, this is the same as 5 x 5 or (5)(5), two sets of 5. Say we have 5×2, the x should be multiplied by itself two times. Remember, the exponent applies to the value of the number attached to it.
Laws of Exponents
• Multiplying Powers With the Same Base
This is much self-explanatory. If the bases are the same, add the powers or exponents. Say we have 84 x 82 = 84+2 = 86. Then we multiply 8 six times. (8)(8)(8)(8)(8)(8)(8)(8) = 262144
• Multiplying Powers With the Same Exponents
If the two expressions have different bases with the same exponents, multiply the bases and keep the exponent the same. Say we have 62 x x2 = 36×2
• Power With Zero Exponent
If the base is raised by 0, whatever the base is, the answer is always 1. Say we have 50 x 90 = 1.
Let us try to answer 2 equations.
• (x3)(x6)
• 37×0
Sample Solution
