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Bess
20 days ago
11

Which shows the following expression after the negative exponents have been eliminated?

Mathematics
2 answers:
AnnZ [9.1K]20 days ago
7 0

Response:

a^2b^2

Detailed explanation:

Considering the given algebraic expression:

\dfrac{a^3b^{-2}}{ab^{-4}}, a\neq 0, b\neq 0

The task is to remove the negative exponents and derive the new expression.

Applying the Negative Exponent Rule: x^{-y}=\dfrac{1}{x^y}

Utilizing the Division Law for Exponents: \dfrac{t^x}{t^y}=t^{x-y}

Consequently:

\dfrac{a^3b^{-2}}{ab^{-4}} = a^{3-1}\cdot b^{-2-(-4)}\\$Simplifying\\a^{3-1}\cdot b^{-2-(-4)}=a^2b^{-2+4}\\=a^2b^2\\Therefore:\\\dfrac{a^3b^{-2}}{ab^{-4}}=a^2b^2

babunello [8.4K]20 days ago
5 0

Response:

D

Detailed explanation:

I completed the quiz.

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There was 5/8 of a pie left in the fridge. Daniel are 1/4 of the left over pie. How much of a pie did he eat
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Answer:

vvvv

Step-by-step explanation:

1. Convert 1/4 into eighths to be able to subtract it from 5/8.

1/4 x 2 = 2/8

2. Deduct 2/8 from 5/8.

5/8 - 2/8 = 3/8

Daniel consumed 2/8 of the remaining pie, and now there are 3/8 left.

7 0
26 days ago
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What is a34 of the sequence 9,6,3,
PIT_PIT [9121]

Step-by-step explanation:

What is a34 of the sequence 9,6,3,..

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hope this helps!

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3 days ago
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It's from Dublin to San Juan


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Write the number 0.21212121.. as a fraction let x=
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To work with the repeating decimals, note that since there are two digits repeating, you will be using a 1 followed by two zeros, which is 100. This factor will be important for subsequent calculations.

Let’s denote the repeating decimal as x.

Thus, you can write

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Now, if you multiply this equation by 100, you can write it on top of the previous equation.
This results in:

100x = 21.212121...
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Next, set up a subtraction by taking the second equation from the first:

100x = 21.212121...
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x = 7/33

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Response:

Me: 3

Step-by-step explanation:

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