3 years ago

Rank the following values from largest to smallest.

1 answer:

3 0

Assuming they are all standardised numbers, from largest:

Number of fans attending a World Series baseball game (10,000+)
Value of a home computer (~800)
Number of buttons on a telephone (10)
Average number of cars that can fit in a home garage (2)

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What is the simplified form of StartFractio negative 24 m Superscript 5 Baseline n Superscript 4 Baseline Over 8 m Superscript n

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Answer:

$\frac{-24m^5n^4}{8m^{-7}n^{-2}}=-3m^{12}n^{6}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\frac{-24m^5n^4}{8m^{-7}n^{-2}}$

We have to simplify this using the properties of exponents.

The property that we use here is:

$\frac{a^m}{a^n}=a^{m-n}$

So, let us simplify the powers of $m\ and\ n$ separately and -24 and 8. This gives,

$\frac{m^5}{m^{-7}}=m^{5-(-7)}=m^{5+7}=m^{12}\\\frac{n^4}{n^{-2}}=n^{4-(-2)}=n^{4+2}=n^6\\\frac{-24}{8}=-3$

Therefore, the simplified form is:

$\frac{-24m^5n^4}{8m^{-7}n^{-2}}=-3m^{12}n^{6}$

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