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3 years ago

6

Help me assapppp!!! Pls

1 answer:

mafiozo [28]3 years ago

5 0

Answer:

have you tries adding them together?

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Prove the divisibility:<br><br>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

25,000 bricks were used to build the new library. The total weight of the bricks was 30,000 pounds. What is the weight of each b

Lelechka [254]

I would go with 1.2 pounds

4 0

2 years ago

Graphing Worksheet

kompoz [17]

The answer is b cuz it changes how it go

4 0

2 years ago

A mechanic is paid $61,490 in salary for a year. Assuming there are 26 pays in a year, what is her biweekly (average) salary? $3

Phoenix [80]

Answer:

$2,365

Step-by-step explanation:

Divide $61,490 by 26...

7 0

2 years ago

Asking again: If z varies jointly with x and y, x = 2 and y = 2, z = 7. Find z when x = 4 and y = 8.

Assoli18 [71]

Answer:

x2-x4 then you would find that answer then do y2-y8 then you would make that a fraction but you would have to solve for z

Step-by-step explanation:

3 0

3 years ago