Answer:
1) 
2) 
3) 
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Problems:
1)
n^-6 has a negative exponent and should be moved to the denominator while p^0 is equal to 1
2)
Divide each base by subtracting exponents. a^4-1 = a^3 and b^-3--2=b^-1. B has a negative exponent so move it into the denominator.
3)
Simplify inside the parenthesis first by adding exponents of same bases x^-2+3 = x. Then apply the outside exponent using power to a power rule and negative exponent rule.
Answer:
15 pieces
Step-by-step explanation:
5/ (1/3) = 5*3 = 15
Answer:
Heidi (260 cookies)
Step-by-step explanation:
Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:
#First calculate Heidi's total number of bags, cookies and cookies:
#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:
Hence, Megan makes 416 cookies.
#From our calculations:
Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.
Answer:
M=18
Step-by-step explanation:
2 = (M/2) - 7
2 + 7 = (M/2) - 7 + 7
9 = M/2
9*2 = M/2*2
18 = M
M = 18
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Hope this helped!</h3>
Answer: 51.54 ft
Step-by-step explanation:
The ladder should be 1 feet away from the wall by each 4-feet that the wall rises, so if we have a 50 ft wall, the distance between the bottom of the ladder and the wall must be:
50ft/4 = 12.5ft.
Now we know the cathetus of our ladder, 12.5ft and 50ft, let's find the hypotenuse, that is:
H = √(12.5^2 + 50^2) = 51.54 feet.
Which is also the lenght of our ladder, so the shortest ladder to climb safely a 50 ft wall is 51.54 ft long.
