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Salsk061 [2.6K]
2 years ago
15

Simplify this answer please help!

Mathematics
1 answer:
aliya0001 [1]2 years ago
5 0

Answer:

(hope this helps can I pls have brainlist (crown) ☺️)

Step-by-step explanation:

7^8 x 7^3 x 7^4 / 7^9 7^5

= 7^(8+3+4) / 7^(9+5)

= 7^15 / 7^14

= 7^(15-14)

= 7.

When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:

7^8 x 7^3 x 7^4= 7^15

Now, look at the rest of the simplified equation and do the same to the denominator:

 7^15 / 7^9 x 7^5 ⇒ 7^15/ 7^14

When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer  = 7^15-14 = 7^1  = 7

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Answer asap please will mark as brainlist
Leona [35]

Answer:

Exact Form:

√ 30

Decimal Form:

5.47722557 …

Step-by-step explanation: i would go with D

6 0
3 years ago
Evaluate a-b for a=5 and b=(-8)
Rudik [331]

Answer:

13

Step-by-step explanation:

a = 5

b = -8

5 - -8 = 13

3 0
3 years ago
Read 2 more answers
Alex runs up a staircase with n steps, and can hop either 1, 2, or 3 steps at a time. Count how many possible ways the child can
MArishka [77]

Answer:

There are 4 possible ways

Step-by-step explanation:

Data provided in the question:

Alex can hop in 1 steps, 2 steps, or 3 steps at a time.

From the above data it can be concluded that at a single maximum 3 steps can be run at a time

thus,

for running 3 steps at a time from the above data, we can have

with 1 step only : {1 , 1 , 1}

with 1 step first and 2 steps : {1 , 2}

with 2 steps first and then the 1 step: {2 , 1}

and 3 steps at once : {3}

thus, we have 4 possible ways to run up the stairs keeping the above condition.

8 0
3 years ago
6. The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fe
d1i1m1o1n [39]

The expression for the cost of the ABC Book Club is 2<em>x </em>+ 40.  The expression for the cost of the Easy Book Club is 3<em>x</em> + 35.  To find when the total charge for both book clubs is equal, the two expressions must equal each other. (<em>x </em>= the number of books read)

2<em>x </em>+ 40 = 3<em>x</em> + 35

Subtract 35 from both sides.

2<em>x </em>+ 5 = 3x

Subtract 2<em>x </em>from both sides.

5 = <em>x</em>

So, the total charge for each club is equal when 5 books are read.

5 0
3 years ago
Define the function
miss Akunina [59]

Given that

g(x) = x^3 + x

the inverse g^{-1}(x) is such that

g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x

or

g\left(f(x)\right) = f(x)^3 + f(x) = x

Differentiating both sides using the chain rule gives

3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}

Then the derivative of <em>f</em> at 2 is

f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}

7 0
2 years ago
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