09.01.2020

# Day 7 Hw. Need help on 1-8. Write answers in radical form

0

16.02.2023, solved by verified expert

Step-by-step explanation:

1) 3^1/4 • 3^1/4

We know that, a^m • a^n = a^(m + n)

So,

3^1/4 • 3^1/4 = 3^(1/4 + 1/4)

= 3^(2/4)

= 3^(1/2)

= √3

2) (2^1/6)^3

We know that, (a^m)^n = a^(m × n)

So,

(2^1/6)^3 = 2^(1/6 × 3)

= 2^(3/6)

= 2^(1/2)

= √2

3) (5^3/8)/(5^1/8)

We know that, (a^m)/(a^n) = a^(m - n)

So,

(5^3/8)/(5^1/8) = 5^(3/8 - 1/8)

= 5^(2/8)

= 5^(1/4)

= ⁴√5

4) 6^1/3 • 6^1/2

We know that, a^m • a^n = a^(m + n)

So,

6^1/3 • 6^1/2 = 6^(1/3 + 1/2)

= 6^(5/6)

= 6√(6^5)

5) (4^2/3)^1/2

We know that, (a^m)^n = a^(m × n)

So,

(4^2/3)^1/2 = 4^(2/3 × 1/2)

= 4^(2/6)

= 4^(1/3)

= ³√4

6) 9^3/9^(5/2)

We know that, (a^m)/(a^n) = a^(m - n)

So,

9^3/9^(5/2) = 9^(3 - 5/2)

= 9^(1/2)

= √9

= 3

7) (25a^4 b^6)^1/2

= (5^2)^1/2 • (a^4)^1/2 • (b^6)^1/2

= 5 • a^2 • b^3

= 5a^2 b^3

8) (8x^6 y^12)^1/3

= (2^3)^1/3 • (x^6)^1/3 • (y^12)^1/3

= 2 • x^2 • y^4

= 2x^2 y^4

### Faq

Mathematics
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics

The answer is in the image

Mathematics

The answer is in the image

Mathematics

The answer is in the image

Mathematics

The solution is in the following image

Mathematics

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=\$53

Therefore, Value after 19 years=\$53

Mathematics

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

The answer is in the image

Mathematics

The solution is given in the image below

Mathematics

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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