What is 5.4 + (-3.6)

konstantin123 [22]

Answer with explanation:

Using following law of indices

$1.x^a \times x^b=x^{a+b}\\\\2. (x^m)^n=x^{mn}\\\\ 3. x^{-n}=\frac{1}{x^n}\\\\4. \frac{x^m}{x^n}=x^{m-n}$

$1.5^{-1}\times 3^{-2}=\frac{1}{5}\times\frac{1}{3^2}\\\\=\frac{1}{5\times9}\\\\=\frac{1}{45}\\\\2. \frac{mn^{-4}}{p^0*q^{-2}}=\frac{mq^2}{n^4}\\\\ 3.0.0042=4.2\times 10^3\\\\4.6.12 \times 10^3=6.12 \times 1000=6120\\\\ 5.0.5 \times(8\times10^5})=\frac{1}{2}\times8 \times 10^5=4\times 10^5\\\\6. (9 \times 10^3)^2=9^2 \times (10^3)^2=81 \times 10^6\\\\7.( \frac{1}{2}a^{-4}\times b^2 )_{a=-2,b=4}{\text{or}}( \frac{1}{2}a^{4}\times b^{-2} )_{a=-2,b=4}=\frac{1}{2}\times (-2)^{-4}\times(4)^2{\text{or}}=\frac{1}{2}\times (-2)^{4}\times(4)^{-2}=\frac{16}{2\times16}=\frac{1}{2}$

$9. (4\times x\times y^2)^3\times (xy)^5=4^3\times x^3\times (y^2)^3\times x^5 \times y^5\\\\=64\times x^{3+5}\times y^{5+6}\\\\=64x^8y^{11}\\\\10.(2\times t^3)^3(0.4\times r)^2=2^3 \times (t^3)^3\times (0.4)^2 \times r^2=8\times t^9 \times 0.16 \times r^2=1.28r^2t^9$

8. A number raised to a negative exponent is negative.

Explaining with the help of few examples

$1.2^{-3}=\frac{1}{2^3}=\frac{1}{8}\\\\ 2.(-3)^{-3}=\frac{1}{(-3)^{3}}=\frac{-1}{27}$

Option C: Sometimes

1.Option B

2.Option A

3.Option C

4.Option A

5.Option D

6. $81 \times 10^6$

7.Option B

8.Option C

9.Option A

10.Option $1.28 r^2 \times t^9$

4 0

3 years ago

Read 2 more answers

a vendor bought n dozen eggs at the rate of 22.6 of the rotating he sold the remaining acts at the rate of 2.50 per act find his

babymother [125]

Answer:

Your question was a bit confusing so I found another related question. You can reference it with your own details.

A vendor bought 10 dozen eggs at the rate of Rs 22 per dozen. Six of the eggs were rotten. He sold the remaining eggs at the rate of Rs 2.50 per egg . Find his profit or loss

Vendor bought 10 dozen eggs which means the vendor bought:

= 10 * 12 eggs

= 120 eggs

6 were rotten and he sold the rest for Rs. 2.50 per egg.

= (120 - 6) * 2.5

= Rs. 285

The amount he spent on the eggs was:

= 10 dozen * 22

= Rs. 220

Profit = 285 - 220

= Rs. 65

7 0

3 years ago

What is the measure of angle R? * 7 points R (10n + 19)" (12n - 4) S

alexandr402 [8]

Answer:

(10n + 19) (12n - 4)º ... The midsegment of a trapezoid is parallel to each base and its measure is one half the ...

Missing: pointsR( ‎S

Step-by-step explanation:

8 0

2 years ago

Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the su

Umnica [9.8K]

The phrase has two parts:

Five times the sum of a number and eleven, divided by three times the sum of the number and eight

Let the number be x. Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall expression will be:

$\frac{5(x+11)}{3(x+8)}$

4 0

2 years ago

Y=1/4x + 8 what would be the slope and the y-intercept

boyakko [2]

slope intercept form is: y = mx + b

m = slope

b = y-intercept

In the equation y = 1/4x + 8

m = 1/4 = slope

b = 8 = y-intercept

6 0

3 years ago

Read 2 more answers

What is 5.4 + (-3.6)​

What is 5.4 + (-3.6)