Which of these is correct?

(4.6×10^5)(2.1×10^4)=2.5×10

open paren 8 point 8 times 10 to the 8th power close paren times open paren 4 point 2 times 10 to the 7th power close paren is equal to 13 times 10 to the 15th power

open paren 2 point 9 times 10 to the 8th power close paren times open paren 1 point 3 times 10 to the 7th power close paren is equal to 3 point 7 7 times 10 to the 15th power

open paren 9 point 9 times 10 to the 7th power close paren times open paren 5 point 8 times 10 to the 6th power close paren is equal to 5 point 7 2 times 10 to the 13th power

The correct equation is:

(2.9 x 10^8) x (1.3 x 10^7) = 3.77 x 10^15

How many times larger is 9×10^−8 than 3×10^−12?

To find out how many times larger 9×10^−8 is than 3×10^−12, we need to divide the two numbers.

(9×10^−8) / (3×10^−12)
= (9/3) x 10^(−8-(-12))
= 3 x 10^4
= 30,000 or 3 x 10^4

9×10^−8 is 30,000 times larger than 3×10^−12.

Divide 6.1×10^20 by 3.2×10^5. Express your answer in 3 steps using Scientific Notation. (6 points)

Step 1: Divide the coefficients:

6.1 ÷ 3.2 = 1.90625

Step 2: Divide the exponents:
(10^20) ÷ (10^5) = 10^(20-5) = 10^15

Step 3: Combine the results:
1.90625 x 10^15

Therefore, 6.1×10^20 ÷ 3.2×10^5 = 1.90625 x 10^15.

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. which expression would you use to find out how many electrons you need to equal the mass of one dust particle? (1 point)

To find out how many electrons you need to equal the mass of one dust particle, you need to divide the mass of the dust particle by the mass of an electron. This can be represented as:

(7.5×10^−10 kg) / (9.1×10^−31 kg)

Therefore, the expression you would use to find out how many electrons you need to equal the mass of one dust particle is:
(7.5×10^−10) / (9.1×10^−31)

Simplify the following expression to Scientific Notation: (4×10^−9)^5

To simplify the expression (4×10^−9)^5 to Scientific Notation, we will raise both the coefficient and the exponent to the power of 5:

(4^5) * (10^(−9*5))
= 1024 * 10^(-45)

Therefore, (4×10^−9)^5 simplified to Scientific Notation is 1024 * 10^(-45).

Two cells are viewed and measured under a microscope. The approximate diameter of each cell is listed.

Cell P: 5.0×10^−4 m

Cell Q: 3.0×10^−5 m

Which expression would you use to find the difference between the two diameters?