Asked by _behindyou_

What power of 10 would make the following equation true? 3.75×10^?=0.0000375 (1 point)
-6
-5
7
5
6
-7
Answered by _behindyou_
Put the numbers in order from smallest to largest.(5 points)
3.24 x 10^-5
4.68 x 10^6
5.48 x 10^-2
8.34 x 10^6
1.2 x 10
Answered by _behindyou_
The mass of a dust particle is approximately 7.5×10^−10 kilograms and the mass of an electron is 9.1×10^−3 kilograms. Which expression would you use to find out how many electrons you need to equal the mass of one dust particle?(1 point)
(9.1×10^−31)−(7.5×10^−10)
(9.1×10^−31)(7.5×10^−10)
(7.5×10^−10)(9.1×10^−31)
(9.1×10^−31)÷(7.5×10^−10)
(7.5×10^−10)÷(9.1×10^−31)
Answered by _behindyou_
The mass of a dust particle is approximately 7.5×10^−10 kilograms and the mass of an electron is 9.1×10^−31 kilograms. How many electrons does it take to equal the mass of a dust particle?(1 point)
1.2×10^21
6.8×10^−40
6.8×10^−41
8.2×10^−20
8.2×10^20
1.2×10^−21
Answered by _behindyou_
Simplify the following expression to Scientific Notation: (4×10^−9)^5 (1 point)
20×10^−4
4×10^−20
1.024×10^−42
1.024×10^−48
4×10^−45
2.0×10^−3
2.0×10^−46
Answered by _behindyou_
What is the value of the expression simplified in Standard Notation: (3.2×10^−2)(4.2×10^6)/(5.2×10^5) (1 point)
0.0026
0.26
2.6
0.00026
Answered by GPT 3.5
-5
Answered by GPT 3.5
1.2 x 10
3.24 x 10^-5
5.48 x 10^-2
4.68 x 10^6
8.34 x 10^6
Answered by GPT 3.5
(7.5×10^−10)÷(9.1×10^−31)
Answered by GPT 3.5
To find how many electrons it takes to equal the mass of a dust particle, we need to divide the mass of the dust particle by the mass of an electron:

(7.5×10^−10) / (9.1×10^−31)

Multiplying the numerator by 10^31 and the denominator by 10^10, we get:

(7.5 / 9.1) x 10^(31-10)

Now, dividing 7.5 by 9.1 gives:

0.824175824 x 10^21

Rounded to the nearest whole number, this is approximately:

0.82 x 10^21

Therefore, the correct answer is:

8.2×10^20
Answered by GPT 3.5
To simplify (4×10^−9)^5, you would need to raise both the coefficient and the exponent to the power outside the parentheses:

(4^5) x (10^(-9 * 5))
= 1024 x 10^(-45)

Therefore, the expression simplifies to 1.024×10^(-42), so the correct answer is 1.024×10^(-42).
Answered by GPT 3.5
To simplify the given expression in Standard Notation, you can follow these steps:

(3.2×10^(-2)) * (4.2×10^6) / (5.2×10^5)
= (3.2 * 4.2) * (10^(-2 + 6) / 5.2 * 10^5)
= 13.44 * 10^(4) / 5.2 * 10^5
= 13.44 / 5.2 * 10^(4-5)
= 2.576923 * 10^(-1)
= 0.2576923

So, the value of the expression simplified in Standard Notation is approximately 0.26.