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AysviL [449]
3 years ago
8

Choose the correct simplification of the expression (2ab5)3. (1 point) Question 8 options: 1) 8ab15 2) 8a3b8 3) 5a3b15 4) 8a3b15

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
4 0

Answer:

4). 8a^{3}b^{15}

Step-by-step explanation:

The Given expression is that,

(2ab^{5})^{3}

On simplifying,

(2ab^{5})^{3} = (2ab^{5} )(2ab^{5}) (2ab^{5})

= (2^{3} ) * (ab^{5})^{3}

= (2×2×2) × (ab^{5} × ab^{5} × ab^{5})

= 8a^{3}b^{15}

Thus, <u>option 4</u> i.e.  8a^{3}b^{15} is the correct simplification of the given expression.

You might be interested in
A.Sum of integer and its additive inverse is ___________.B.Sum of -22 and -44 is ______________.C.-36 ÷ ( ___)=-9d._________ is
Ede4ka [16]

Answer:

  A. 0

  B. -66

  C. 4

  D. 998

  E. -12

Step-by-step explanation:

A. By definition, the sum of anything and its additive inverse is zero.

__

B. If you have trouble with sums, your calculator can help.

  -22 + (-44) = -22 -44 = -66

__

C. -36/x = -9 can be solved by multiplying by x and dividing by -9:

  -36 = -9x

  -36/-9 = x = 4

Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.

__

D. The absolute value function changes the sign of negative numbers to positive:

  |-998| = 998

__

E. If you have trouble with sums, your calculator can help.

  (−2)−[(−3)−(−7)−(−6)]

  = -2 -(-3 +7 +6) = -2 -10 = -12

4 0
3 years ago
PLEASE NEEP HELP ASAP:)
Sloan [31]
35%
----     Than cross multiply with ---- = 24500
100%                                        100   --------
                                                            100
Which ends up to be 245.
4 0
3 years ago
Read 2 more answers
For which values of P and Q does the following equation have infinitely many solutions ?
solmaris [256]

Answer:

(P, Q) = (-75, 57)

Step-by-step explanation:

The equation will have infinitely many solutions when it is a tautology.

Subtract the right side from the equation:

Px +57 -(-75x +Q) = 0

x(P+75) +(57 -Q) = 0

This will be a tautology (0=0) when ...

P+75 = 0

P = -75

and

57-Q = 0

57 = Q

_____

These values in the original equation make it ...

-75x +57 = -75x +57 . . . . . a tautology, always true

4 0
3 years ago
If a and b are odd integers, then a – b is an even integer.
Readme [11.4K]
So the answer choices are
1. a-b=even
2. a and b are not odd
3. a and b are odd
4. a-b=even
5. a-b=not even

even=not odd
not even=odd so choice 5 is really a-b=odd
basically choice 4 and 1 are the same so we cross one out
so
the problem said that a and b are odd so therefor choice2 is wrong and choice 3 is correct

then both are odd
odd-odd=even because
an even number is represented as 2n where n is an integer
an odd number can be represented as 2n+1 so assume you have 2 odd numbers 2 away from each other so odd and (odd+2)
odd+2-odd=2n+1+2-(2n+1)=2n+1+2-2n-1=2n-2n+1-1+2=2
you are left with odd
using integers
7 and 11
11-7=4
even

so odd-odd=even, it depends on weather you consider 0 odd or even


so the asnwers are:
a and b are odd
a-b is not an even integer
6 0
3 years ago
Read 2 more answers
Which expression shows 2x² + 18 factored completely
Lerok [7]

Answer:

2(x^2+9)

Step-by-step explanation:

2x^2 +18

Factor out a 2

2(x^2+9)

3 0
3 years ago
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