1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dafna11 [192]
2 years ago
10

Exponent Laws - difference between product law and product raised to a power (with formula please)

Mathematics
1 answer:
enyata [817]2 years ago
7 0

Answer:

Exponent laws:

1. Product law

x^{a}\times x^{b}\times x^{c}=x^{a+b+c}

In product law if bases are same then we add their respective powers.But if bases are different we can't add their powers.

x=base, a,b,c=exponent

If x=2 and a=3, b=5 , and c=10, then

2^{3}\times2^{5}\times2^{10}=2^{3+5+10}=2^{18}

2.Product raised to a power

1. [x^{a}]^{c}=x^{ac}

2. [x^{a}\times x^{b}]^{c}=[x^{a+b}]^{c}=x^{ac+bc}

If product is raised to a certain power , keeping the base same , we just multiply the powers.for example

[2^{3}]^{4}=2^{3\times4}=2^{12} and

[2^{3}\times3^{2}]^{2}=[2^{3}]^2 \times[3^{2}]^{2}=2^{6}\times3^{4}

[2^{3}\times2^{2}]^{2}=[2^{3+2}]^{2}=[2^{5}]^{2}=2^{10}



You might be interested in
In the game of Pick-A-Ball without replacement, there are 10 colored balls: 3 red, 4 white, and 3 blue. The balls have been plac
Margarita [4]

Answer:A)0.27

B)0.78

Step-by-step explanation:

This is the probability of picking 2balls of same color.

P(RR)+Pr(WW)+Pr(BB)

3/10×2/9+4/10× 3/10+3/10 ×2/9=6/90+12/90+6/90=

24/90=4/15=0.27

B)if the first ball is not returned, then there are 9 balls left.

Then probability of same color will be

PrB+PrW+PrR

2/9+3/9+2/9=

7/9=0.78

8 0
3 years ago
What is the volume of a sphere with a radius of 30 yards?
iragen [17]

Answer:

 113097.33552923 yards3

Step-by-step explanation:

7 0
2 years ago
Jasper has 7 more checkers left than Karen does in a game of checkers. Jasper has 9 left. Write and solve and addition equation
hammer [34]

Answer:

Karen has only 2 checkers left

Step-by-step explanation:

Jasper has 7 checkers than Karen

Jasper has 9 checkers

The equation can be written as

7 + k = 9

This means that 7 plus Karen checkers equal 9 which is jasper checkers

It can also be written as

9 - 7 = k

k = 2

Therefore Karen has only 2 checkers left

3 0
3 years ago
Which set of expressions are not equivalent?
IrinaK [193]
Expression,
• 4(3a) - 2(4a) and 4a2
is not equivalent.

3 0
3 years ago
Six times a number is less than 72
anastassius [24]
It could be any number under 11
6 0
3 years ago
Read 2 more answers
Other questions:
  • The perimeter of a triangle is 82 feet. One side of the triangle is 2 times the second side. The third side is 2 feet longer tha
    15·1 answer
  • Maria will spin the arrow on the spinner three times. What is the probability that the arrow will stop on A, then B, then C?
    8·1 answer
  • The scatter plot below represents the weight of a box of cookies based on the number of cookies in the box. A trend line shows t
    8·1 answer
  • Which BEST describes the system of equations?<br> y= {x-2<br> y = 8x + 4
    8·1 answer
  • Julio is playing a trivia game. On his first turn, he lost 100 points. On his second turn, he lost 60 points. On his third turn,
    9·1 answer
  • I NEED HELP BEFORE 12:00 I’ll do anything
    13·1 answer
  • (This is 6th grade math)<br>Question: Half a number minus nineteen​
    9·1 answer
  • Si un número divisible entre 3 también es divisible entre 6
    6·1 answer
  • In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,
    8·1 answer
  • A spinner is divided into four equal sections labeled A, B, C, D. After 50 trials, the spinner landed on A 14 times, on B 13 tim
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!