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
Anvisha [2.4K]
3 years ago
9

Exponents and Powers Question Need help, please answer with explanation.

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

  a = -1

Step-by-step explanation:

The sign of a number raised to an even power is irrelevant. That means we can rewrite (-25)² as (-5)⁴. Doing so lets us combine the factors like so ...

  (-5)^{a+2}\times (-5)^4=(-5)^5\\\\(-5)^{a+2+4}=(-5)^5\\\\a+6=5 \qquad\text{equating exponents}\\\\a=-1 \qquad\text{subtract 6}

Here, we used the rule of exponents ...

  (a^b)(a^c) = a^(b+c)

_____

The business of "equating exponents" is equivalent to taking logarithms. In general, the logarithm of a number to a negative base is not defined. However, for the case of integer exponents we have here, there is no problem with doing what we did.

_____

<em>Check of the answer</em>

(-5)^1 × (-25)^2 = (-5)^5

-5 × 625 = -3125 . . . . true

You might be interested in
The number of minutes Pam talked on the phone was 35, 40, 12, 16, What was the average time Pam was on the phone
Fudgin [204]

Answer:

<h2>25,75</h2>

Step-by-step explanation:

(35 + 40 + 12 + 16) : 4

= (75 + 28) : 4

= 103 : 4

= 25,75

8 0
3 years ago
Use the associative property to find more factors of 12 and 30
ahrayia [7]
The associative property could be that they are both even and they are both in the 3x table
8 0
3 years ago
Which three types of transformations result in congruent shapes?
Aleks [24]

Answer:

There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent

6 0
3 years ago
Does anyone know the answer to this? will give brainliest
Alla [95]

Answer: a

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the inverse of the function f(x) = x – 12?
maxonik [38]

Answer:

f(x)^-1=x+12

Step-by-step explanation:

f(x)=x-12

y=x-12

x=y-12

y=x+12

f(x)^-1=x+12

Hope it helps.

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of an exterior angle in a regular dodecagon?
    9·1 answer
  • Write the equation of a line that has a slope of 5 and passes through the point (3,9)
    10·1 answer
  • Ted has the following triangle dimensions.
    12·2 answers
  • The cost of a coffee maker is $76.70 the markup is 20% of the cost. What is the selling price of the coffee maker?
    9·2 answers
  • The number of bags of peanuts sold at the Kennedy Center from 1900 to 2004 can
    5·1 answer
  • Help solve #2 please!!!
    10·1 answer
  • Please help giving lots of points!! Y varies directly with x. If
    9·1 answer
  • Select the correct answer.
    14·1 answer
  • Plzz help will mark brainliest plz don't do it for the points plzz!!!!!!!!!!!!!
    13·1 answer
  • Find the interest on the 10000 at rate of rate on re 1 per year is 5 paisa​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!