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Len [333]
3 years ago
8

Simplify the expression below. 4^5 x 4^3

Mathematics
2 answers:
BartSMP [9]3 years ago
4 0

Answer:

4^8

Step-by-step explanation:

Because both expressions have the same base, we can add the exponents to simplify the expression:

4^5*4^3 = 4^{5+3} = 4^8

elena-s [515]3 years ago
3 0

Answer: 4^8 or 65,536

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents.

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Which pair of numbers is relatively prime? A. 102 and 321 B. 10 and 45 C. 3 and 51 D. 35 and 72
Natali [406]
Okay. I will list all the relatively prime numbers up to 331.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101, 103,107,109,113,127,131,137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331.
Okay, so look at this list and see which match up. 
For A. 102 and 312. Neither of these numbers are relatively prime.
For B. 10 and 45. Neither of these are relatively prime. 
For C. 3 and 51. 3 is a relatively prime number, 51 is not. 
For D. 35 and 72. Neither of these are relatively prime numbers.
But the answer would be D. because to get a relatively prime pair of numbers you have to have both of them not be divisible by the same number. 102 and 312 can be divided 2, so that's not the answer. 10 and 45 can be divided by 5, so that is incorrect. 3 and 51 can be divided by 3, so that is also incorrect. 35 and 72 cannot be divided by the same numbers. 
So, the answer is D. 35 and 72.
3 0
3 years ago
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Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?
Neko [114]
Well to find the volume of the square prism, first you need to multiply the base area (36) by its height (3) and you would end up with 108m3 as the volume. You may not be familiar with this because u are most likely taught length times width times height as volume, but what i just did is the same because length times width is the sum of the base area, and height was already given. Anyways, now that we have gotten the square prism volume (108m3) we need to find which prism has the same volume. I’m gonna save u from searching and tell you that it is the rectangular prism because length times width times height (18x2x3) equaled 108 just like the square prism.
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3 years ago
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heyy soo i just started math class and im veryy confused I've tried different things to get to the answer but it didn't work soo
german

yes sure, i learned this before so

1. a. make a proportion here, of percentage. \frac{225}{250} =\frac{x}{100} if you cross multiply and divide you get 90%.

1. b. obviously the empty seats would be 10%.

2. a. proportion again, \frac{0.90}{6.00} =\frac{x}{100} cross multiply then divide you ge 15%

3. 30% in decimal form is 0.3. multiply it then to the total amount, so 0.3 x 15 = 4.5

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3 years ago
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Please help me solve this asap!​
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The would be answer is A
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\frac{2}{3}

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