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2 years ago

PLEASE HELP! I REALLY NEED HELP!!!

Mathematics

1 answer:

Brums [2.3K]2 years ago

5 0

Answer:

on which one?

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Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

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2 years ago

If it costs $55 for 20 people to go rent a movie at red box how much does it cost per person?

marusya05 [52]

55/20 = 2.75
It costs $2.75 per person

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2 years ago

An 8 ounce mug requires 0.3 cup of hot cocoa mix. How much hot cocoa mix is needed for a 12 ounce mug?

8090 [49]

Answer:

0.45

Step-by-step explanation:

Step 1:

$\frac{8}{0.3} =\frac{12}{x}$

Step 2:

8 · x = 0.3 · 12

8x = 3.6

Last Step: Divide both sides by 8 to isolate the value x

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2 years ago

Points Y and Z are the same distance from point X on a number line. The coordinate of point X is –7 and the coordinate of point

Mars2501 [29]

Since you know that point Y and point Z are equal distance form point F, you will need to know the distance between point Y, -1, and the distance between point X, -7. So, the total distance, after subtracting -1 from -7, is -6. So, you will then subtract another -6 from -7, to get -13, which is the coordinate of point Z.

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2 years ago

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Marnie practiced her basketball dribbling. After 2 tries she had bounced the ball 88 times. On the second try she had 2 fewer bo

Alina [70]

Ok! The first thing u have to do is multiply 2 times 88 which its 178 then u multiply 2 times 8 which it equals 16. Then u add 178+16 and it equals 194.

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3 years ago