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
grigory [225]
3 years ago
15

Why can't you use the product of powers rule to simplify this expression? Explain. 3^4 * 2^8

Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer:

Both expressions have different base.

Step-by-step explanation:

Product rule can only be use for the similar bases. For example 2² × 2⁴ have the same base.

For this question, 3⁴ × 2⁸ have different bases which is 3 and 2.

You might be interested in
The price of an item yesterday was $60. Today, the price fell to $42. Find the percentage decrease.
oksian1 [2.3K]

Answer:

-30% or 30% decrease

Step-by-step explanation:

What's percentage decrease?

  • Percent decrease is the difference between the initial value and new value, indicating a loss of value.
  • The formula to find percent decrease is \frac{NV-IV}{IV} * 100, where NV = new value and IV = initial value.

How do we solve this problem?

  • We know that the original value was $60, so that represents IV. Also, now that the price is $42, it represents NV.
  • Now, we plug in the values!
  • \frac{42-60}{60} * 100
  • \frac{-18}{60} * 100
  • -\frac{3}{10} * 100
  • -3 * 10
  • -30

Therefore, the answer is 30% decrease.

6 0
2 years ago
Simplify the given expression below: (4+2i)-(1–7i)
emmasim [6.3K]

Answer:

3 + 9i

Step-by-step explanation:

(4 + 2i) - (1 - 7i)

distribute the (-)

(4 + 2i) - 1 + 7i

combine like terms

3 + 9i

4 0
3 years ago
Roberta grows pea plants, some in shade and some in sun. She picks 8 plants of each type at random and records the heights. Shad
natita [175]

Answer: 2.6

Step-by-step explanation:

Step 1: Calculate the mean of Shade's plant heights.

= 7+12+12+8+9+8+8+8/8

= 72/8

=9

Step 2: Calculate the range of Shade's plant heights. Range is highest minus lowest number. This will be:

12 - 7 = 5

Step 3: Calculate the mean of Sun plant heights.

19+24+20+23+24+23+23+20/8

= 176/8

= 22

Step 4: Find the range of Sun plants height.

= 24 - 19 = 5

Step 5: Find the difference of means

= 22 - 9

= 13

Step 6: Divide the difference of means by the range.

= 13 ÷ 5

= 2.6

8 0
3 years ago
Use prime factorization to find the GCF of 10, 45
Taya2010 [7]

Answer:

<h2>GCF(10, 45) = 5</h2>

Step-by-step explanation:

10=2\cdot\boxed{5}\\\\45=3\cdot3\cdot\boxed{5}\\\\GCF(10,\ 45)=\boxed{5}

7 0
3 years ago
Determine the correct scientific notation form of the number. 3,708,000,000\
mylen [45]
B) 3.708 x 10^9 is the correct answer
5 0
3 years ago
Read 2 more answers
Other questions:
  • Estimate 306% of 25 hkhiuiuuigkuuigigiiuuu
    6·1 answer
  • Ricardo lost 6 golf balls while playing yesterday . He bought a box of 12 golf balls, then lost 4 on the course today. He now ha
    12·1 answer
  • The positive integer k has exactly two positive prime factors, 3 and 7. if k has a total of 6 positive factors, including 1 and
    12·1 answer
  • Question:
    14·1 answer
  • a school bus has 22 rows of seats, and 4 students can be seated in each row/ students riding in the bus have filled 19 rows of s
    14·1 answer
  • From 200 feet away, the angle of elevation to the top of a building is 36°. Find the height of
    14·1 answer
  • Find the length of side x to the nearest tenth
    7·1 answer
  • Write an equation that could be used to find how many miles a hybrid suv can travel in the city on 20 gallons
    13·1 answer
  • Which of the following correctly simplifies the expression<br> ?
    6·2 answers
  • %to find the euclidean distance between two vectors, find the 2-norm of the difference of %those vectors. enter column vectors u
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!