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3 years ago

I need help on 1,2 and 4

Mathematics

2 answers:

bogdanovich [222]3 years ago

6 0

1: 6 to the 7th power
2: 3 to the 12th power
3: 10 to the 4th power

boyakko [2]3 years ago

3 0

Answer:

1. 279,936

2. 727

4. 4,096

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What is 16.004 written in expanded form

professor190 [17]

16.004 = (1 x 10) + (6 x 1) + (0/10) + (0/100) + (4/1000)

Hope this helps ;)

6 0

3 years ago

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

PLEASE HELP ME ANSWER THIS QUESTION!!!

madreJ [45]

speed is 45 miles per hour. 135/45=3, so the answer is 3hours (A)

4 0

3 years ago

there are a total of 100 balloons.if the ratio of yellow balloons to blue balloons is 8 to 12,how many of them are yellow?

IrinaK [193]

The ratio of yellow balloons to blue balloons is 8:12
Then there are 100 balloons. Making the equation, we are able to have:
8X + 12X = 1000
20x = 1000
X = 50.

Yellow balloons = 8x = 8 * 50 = 400 yellow balloons
Blue balloons = 12X = 12 * 50 = 600 blue balloons

So there are 400 yellows balloons.

8 0

3 years ago

-3 (5 g +1) + 8 g

Komok [63]

Answer:

-7g-3

Step-by-step explanation:

in order to evaluate for this mathematical expression, we need to consider the negative sign carefully and then open the bracket then evaluate.

<u>solutuion</u>

-3 (5 g +1) + 8 g

-15g -3 + 8g

-15g +8g -3

-7g-3

8 0

3 years ago