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3 years ago

3. A fruit company ships boxes of apples and pears in a crate that measures

Mathematics

1 answer:

raketka [301]3 years ago

3 0

The answer is d for sure

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Prove the divisibility: 45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

$75^{30}=(15*5)^{30}=15^{30}*5^{30}$

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}$

$\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}$

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

7 0

3 years ago

Simplfy 7 to the power of 2

Fudgin [204]

I believe that would be 49

4 0

2 years ago

Hey PLZZZZ HELP!

Sloan [31]

Answer:

mean because there is an outlier

Step-by-step explanation:

since there is an outlier that affected the mean which is company D, it can only be mean because the outlier is too big.

6 0

2 years ago

Read 2 more answers

What is 6 1/4 written as a decimal? A. 6.5 B. 6.2 C. 6.25 D. 6.025

GaryK [48]

Answer:

C. 6.25

Step-by-step explanation:

6 is a whole number while 1/4 is translated into .25 as a decimal

8 0

2 years ago

Read 2 more answers

Lia, Phil and cam collect a total of $200.30 for a holiday fundraiser. Phil collects $12.80 more than Lia. Cam collects three ti

Julli [10]

Lia=L
Phil=12.80+L
Cam=3L

L+12.80+L+3L=200.30
5L+12.80=200.30
5L=200.30-12.80
5L=187.5
L=187.5/5
Plug into the equations at the top
L=Lia=$37.5
Phil=12.80+37.5=$50.30
Cam=3(37.5)=$112.50

6 0

2 years ago

Read 2 more answers